Get the solution: x^2 dy/dx - y^2 = 2xy

Q: Differentiate dx y=3x²+2 (3x² + 2) = 3+.

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Q: 2x-1 dx

A: Given,

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A: The given differential equation is: y dx-x+2y2dy=0 To solve the given differential equation.

Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: Solvedy =dy +4y=2= dx

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Q: Find dy/dx and simplify results: 4xy-2x^3+3/4

A: Given: y=4xy-2x3+34 To find dydt

Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

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Q: x2+1 - dx x4-x²+1

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Q: 3—4х dx =? Vx2+6x+1

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

A: I am attaching image so that you understand each and every step.

Q: find y' for Zy%3D2X-2y

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Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: Find f''(x). f(x) = (x² + 1) ⁹

A: Here we have to find the double derivative of the given two functionsy=(x2+1)9and y=-7x6+1Here these…

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

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Q: х2 9 dy + sinx - у %3D0 dx

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Q: 2х — 3 /3x2 — 9х + 27

A: Consider an integral of the form, The integral of this form can be solved using the substitution…

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: 1/2 (5x+ 3x"-7)ck

A: Solution

Q: fx' Vr-1 dx

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Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

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