70以上 y(4x y)dx-2(x^2-y)dy=0 224240-Y(4x+y)dx-2(x^2-y)dy=0

0 votes 1 answer If π/2 < x < 0 and y = tan^1√((1 cos 2x)/(1 cos 2x)), find dy/dx asked in Differentiation by Kaina (305k points)If y = 5x3 4x and dx/dt= 2, find dy/dt when x = 3 dy dt = ?This is an example of a common AS differentiation Q To find dy/dx simply apply the power rule to each term in the equation The power rule is if you have a term x^n then dy/dx will be n times x^ (n1) eg for 4x^3 we multiply 3 by 4 for our coefficient and subtract 1 from the power giving us 12x^2 So here dy/dx = 12x^2 x^1/2

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Y(4x+y)dx-2(x^2-y)dy=0

Y(4x+y)dx-2(x^2-y)dy=0-Science & Mathematics / Mathematics Please enter comments Kruger, Freddy Kruger May 21 0 Replies would yo pay 3160 for a 3 song cd which there areD dx (y) = d dx (4x3 x2 2 6) d d x ( y) = d d x ( 4 x 3 x 2 2 6) The derivative of y y with respect to x x is y' y ′ y' y ′ Differentiate the right side of the equation Tap for more steps 12x2 x 12 x 2 x Reform the equation by setting the left side equal to the right side y' = 12x2 x y ′

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Get an answer for '`3(y4x^2)dx xdy = 0` Solve the firstorder differential equation by any appropriate method' and find homework help for other Math questions at eNotesA first order Differential Equation is Homogeneous when it can be in this form dy dx = F ( y x ) We can solve it using Separation of Variables but first we create a new variable v = y x v = y x which is also y = vx And dy dx = d (vx) dx = v dx dx x dv dx (by the Product Rule) Which can be simplified to dy dx = v x dv dxWhat is the general solution of y (4x y 2) dx (xy y) dy=0?

 If y = cos^–1(2x) 2cos^–1√(1 – 4x^2), 0 < x < 1/2 , find dy/dx asked in Limit, continuity and differentiability by Raghab (507k points) differentiation; #2 For the curve given by 4x2y2=4xy show that dy/dx=y4x/yx #3 For the curve given by 4x2y2=4xy, find the positive y coordinate given that the xcoordinate is 2 #4 For the curve given by 4x2y2=4xy, show that there is a point P with xcoordinate 2 at which the line tangent to the curve at P is horizontalFull access to over 1 million Textbook Solutions;

You can separate it out as xdxydy = x2−1y21 now put y2 1 = u and then continue to get a very simple integrable function 21 (xy2x)dx (yx2y)dy=0 One solution was found d = 0 Step by step solution Step 1 Step 2 Pulling out like terms 21 Pull out like factors y Is the solution of the math problem right? Example 22 Find the particular solution of the differential equation 𝑑𝑦/𝑑𝑥𝑦 cot⁡〖𝑥=2𝑥𝑥^2 cot⁡𝑥(𝑥≠0) 〗 given that 𝑦=0 𝑤ℎ𝑒𝑛 𝑥=𝜋/2 𝑑𝑦/𝑑𝑥𝑦 cot⁡〖𝑥=2𝑥𝑥^2 cot⁡𝑥 〗 Differential equation is of the form 𝑑𝑦/𝑑𝑥𝑃𝑦=𝑄 where P = cot x & Q = 2x x2 cot x IF = 𝑒^∫1 〖𝑝 𝑑𝑥Int (((xy)/2)^2 (1(xy)/2)^2) dx dy, x=0 to 1, y=0 to 1 Natural Language;

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Solution Verified by Toppr (x 2−y 2)dx−xydy= dxdy= xyx y Let y=vx, dxdy=vx dxd dd d d = dx 4−1ln(1−2t)=lnx 4lnxln(1−2t)c=0 lnx 4ln(1−2v 2)c=0 lnx 4ln(1−2 x 2y 2)c=0 lnx 4ln(x 2−2y 2)−ln(x) 2c=0 lnx 2ln(x 2−2y 2)c=0 2lnxln(x 2−2y 2)c=0 Solve any question of Differential Equations with Patterns of problems > Was this answer helpful?4 The integrating factor of the differential equation x dy x 2y=x2 x d y x 2 y = x 2 is (x≠ 0) ( x ≠ 0) Answer 5 The number of solutions for the equation Sin2xCos4x=2 S i n 2 x C o s 4 x = 2 is Answer 6 The curve satisfying the differential equation, (x2 −y2)dx2xydy=0 ( x 2 − y 2) d x 2 x y d y = 0 and passing through Explanation First, we are going to divide the entire equation by x to put it into the form dy dx P (x)y = Q(x) dy dx 2 x y = xlnx Now, we need to find the special integrating factor For a differential equation in this form, the special integrating factor is given by μ = e∫P (x)dx μ = e∫ 2 xdx μ = e2lnx

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Y x)dx (x² – 2)dy = 0 4 y (4x y)dc 2 (x2 y)dy = 0 5 (4xy 3y2 x)dx x (x 2y)dy = 0 Expert Solution Want to see the full answer?Solution for (x y) (4x y) dx x(5x y) dy = 0 Q If sin a = 0784 and sin 8 = 0577 with both angles' terminal rays in QuadrantI, find the A sinα = 0784 sinβ = 0577 sin(βα ) = sinαcosβ cosαsinβ cos(αβ) = cosαcosβ sinαsinβ use thisSteps Using the Quadratic Formula Steps for Completing the Square View solution steps Graph Quiz Linear Equation y(4x y)dx− 2(x2y− y)dy = 0 Similar Problems from Web Search finding y (xy2 y)dx (x2y −x)dy = 0 https//mathstackexchangecom/questions//findingyxy2ydxx2yxdy0/

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3 Rate of Change To work out how fast (called the rate of change) we divide by Δx Δy Δx = f (x Δx) − f (x) Δx 4 Reduce Δx close to 0 We can't let Δx become 0 (because that would be dividing by 0), but we can make it head towards zero and call it "dx" Δx dx You can also think of "dx" as being infinitesimal, or infinitely smallLimit of x^2 y^2 x y^3 as y > infinity int (x^2y^2)/ (x^2y^2) dxdy, int (x^2y^2)/ (x^2y^2) dydx Jacobian series of x^2 y^2 x y^3 at y=0 ʃʃʃ exp (x y z) dx dy dz Have a question about using WolframAlpha?Use a substitution to replace the quantity squared Let and This is a separable ODE Form the two integrals and solve them The remaining integral requires a trigonometric substitution Continue Reading Sponsored by Cuemath Almost 75% of Cuemath students nailed this answer vs noncuemath students

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Find dy/dx x^24xyy^2=4 x2 − 4xy y2 = 4 x 2 4 x y y 2 = 4 Differentiate both sides of the equation d dx (x2 −4xy y2) = d dx (4) d d x ( x 2 4 x y y 2) = d d x ( 4) Differentiate the left side of the equation Tap for more steps −4xy' 2yy' 2x−4y 4 x y ′ 2 y y ′ 2 x 4 y Since 4 4 is constant with respectHow do I solve dy/dx= (4xy1) ²?Give the BNAT exam to get a 100% scholarship for BYJUS courses

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What is the general solution of the ODE below Solve the ODE using Method of Grouping remove the factor Now, distribute the differentials and try to group by derivative rules The mixed terms have to be grouped together to match derivative rulesCheck out a sample Q&A here See Solution star_border Students who've seen this question also like Given Curves y = 4x, x y = 3 , y = 0 and y=2 To find (x2 y2) dx dy throughout the area enclosed Solution Consider a strip parallel to x axis To calculate double integral, Think about the volume under a surface with condition z = f (x, y)

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3) If x and y are in X, then f(x) = f y(4xy) dx 2(x^2y) dy =0 Solve this give me explanation and Get more out of your subscription* Access to over 100 million coursespecific study resources;Contact Pro Premium Expert Support » Give us your feedback »

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Here, ∂ M ∂ y = ∂ N ∂ x Thus the equation is exact ∴ ∫ M d x = ∫ x 2 − 4 x y − 2 y 2 d x = x 3 3 − 4 x 2 2 y − 2 y 2 x And ∫ terms in N free of x d y = ∫ y 2 d y = y 3 / 3 ∴ The solution is x 3 3 − 2 x 2 y − 2 x y 2 y 3 3 = c Get an answer for 'Let y=2(x^2)4x3 Find the differential dy when x=4 and dx=03Find the differential dy when x=4 and dx=06' and find homework help for other Math questions at eNotesSee the answer Solve y (4xy)dx 2 (x^2y)dy = 0 by finding the integrating factor and test for exactness Expert Answer 100% (1 rating) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator

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 5 Here is another way y ( y 2 x 2) d x x ( 2 x 2 − y) d y = 0 Substitute y = t x t ( t 2 x) = ( t − 2 x) y ′ Note that y ′ = t ′ x t t ( t 2 x) = ( t − 2 x) ( t ′ x t) After some simplifications you get t ′ ( t − 2 x) = 4 tFree PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystep Homework Statement I'm asked to use the transformation of v= 2xy to solve dy/dx = (2xy4)/ (4x2y 1) the answer given is (2/9)(6x3y2) Insights Blog Browse All Articles Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio/Chem

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The differential equation of the form is given as d y d x = x y 2 Separating the variables, the given differential equation can be written as 1 y 2 d y = x d x ⇒ y – 2 d y = x d x – – – ( i) In the separating the variables technique we must keep the terms d y and dY)dx %3D 2 xy2 dx x²ydy = 0 3 2y (x?Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystep

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Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics2) If x and y are in X, then f(x) = y;This problem has been solved!

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In mathematics, a function (or map) f from a set X to a set Y is a rule which assigns to each element x of X a unique element y of Y, the value of f at x, such that the following conditions are met 1) For every x in X there is exactly one y in Y, the value of f at x; Given (y − 4x −1)2dx − dy = 0 dy dx = (y − 4x −1)2 Let u = y −4x, then du dx = dy dx −4 du dx 4 = (u − 1)2 du dx = u2 −2u −3 The equation is separable du u2 − 2u − 3 = dx ∫ du u2 − 2u −3 = ∫dx24/7 help from Expert Tutors on 140 subjects;

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 Misc 13Find a particular solution of the differential equation 𝑑𝑦﷮𝑑𝑥﷯𝑦 cot﷮𝑥=4𝑥 𝑐𝑜𝑠𝑒𝑐 𝑥 𝑥≠0﷯ ,﷯ given that 𝑦=0 when 𝑥= 𝜋﷮2﷯Given 𝑑𝑦﷮𝑑𝑥﷯𝑦 cot﷮𝑥=4𝑥 𝑐𝑜𝑠𝑒𝑐 𝑥 ﷯This of the form 𝑑𝑦﷮𝑑𝑥﷯𝑃𝑦=𝑄 where P = cot x & Q = 4x cosec xIF = 𝑒﷮ ﷮﷮𝑃𝑑𝑥﷯﷯IFGiven that y = 4x^3 – 5/ (x^2) , x =/= 0, find in its simplest form dy/dx We are given y = 4x^3 – 5/ (x^2) To find the dy/dx we are going to use the power rule, from the power rule differentiating x^n gives n*x^n1, so from our equation differetiating x^3 will give 3x^2, but we need the differential of 4x^3, this will be 12x^3Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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SolutionGiven , Differential Equation is(x 2−yx 2)dy(y 2xy 2)dx=0This can be Simplified as(yx 2−x 2)dy=(y 2xy 2)dxx 2(y−1)dy=y 2(1x)dxy 2dy(y−1)= x 2dx(1x)Now On Integrating both side , we get∫ y 2dy(y−1)=∫ x 2dx(1x)∫y1− y 21dy=∫x1 x 21dx∫ ydy− y 2dy=∫ xdx x 2dxln∣y∣− y1=ln∣x∣− x1lnCln∣yTo ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `x(1y^2)dxy(1x^2) dy=0` Best answer Answer is (A), (D) See fig The given differential equation is x2 4x 4 y (x 2)dy/dx y2 = 0 (x > 0) which is further simplified as follows (x 2)2 y (x 2)dy/dx y2 = 0 Substituting x 2 = t, we get dx/dy = dt/dy which passes through the point (1, 3) Therefore, from Eq (1), we get

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Solve the following differential equations 1 xdy = (xy? Solve the problem dy/dx = sin(4x) / 3cos(4x) y=5 when x=0 2 (i)Show that ∫ 2e^2x – 5 / (e^2x – 5x) ^2/3 dx = 3(e^2x – 5x)^1/3 c where c is the arbitrary constant (ii)Hence find,The general solution of the differential equation is of the form f (x,y)=C f (x,y) = C \frac {dy} {dx}=\frac {3x^24x2} {2\left (y1\right)} dxdy = 2(y 1)3x2 4x2 3 Using the test for exactness, we check that the differential equation is exact 0=0 0 = 0 Explain more 4 Integrate M (x,y) M (x,y) with respect to x x to get

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⇒ y4x−4 =2 ⇒ y 4 x − 4 = 2 tan (2x) ( 2 x), which is required solution Concepts Used General Solutions to Differential Equations A relation between involved variables, which satisfy the given differential equation is called its solution

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