find the solution to the initial value problem to the Homogeneous equation; dy/dx = (4y-3x) / (2x-y)

Q: Solve the equation 2. (2y² +2 In x + 1) dx +2x y²dy = 0

A: Consider the given differential equation as, 2y2+2lnx+1dx+2xy2dy=0

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: Solve the following IVP: (x²y+y +5x2 +5)Y =y2 +y-2; y(1)=2 dy dx

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Q: - у = 3x-2 4x-5

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Q: Solve this linear IVP,        xlnx dy/dx + y= 2lnx,                           y(e)=2

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

A: We have to solve given problem:

Q: x2y dx=(x3+y3)dy

A: Consider the given differential equation, x2ydx=x3+y3dy⇒dydx=x2yx3+y3 This is a homogeneous equation…

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

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Q: Solve (x − y − 1) dy − (x + 3x − 5) dx = 0

A: Rewrite the differential equation as                 dydx=x+3y-5x-y-1

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: 2x = 1 - y² dy dx

A: We have to solve the given differential equation.

Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Solve x(dy/dx) - 4x2y + 2ylny = 0

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

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Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

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Q: y = e² -Vx sec 6x 3

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Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: (r³ + xy²)dx + (x²y + y*)dy = xdy + ydx.

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