Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coefficients (x2 + y?)dx + xy dy = 0 reduces to A (2v2 – 1)dx – vx dv = %3D В None of the given Choices (1+2v)dx + vx dv = 0 D (1+2v2)dx + x dv = 0 E (2v2 - 1)dx + Vx dv = 0

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

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Q: SOLVE : uoTienbe je120 (6x2 +4xy +y2)dx + (2x2 + 2xy -3y2)dy =0 2x³+2x3y+xy²-y³=c 3x2+2x?y+xy2+y°=c…

A: We need to find the solution of this exact differential equation

Q: homogeneous equation

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A: We have to solve given problem:

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A: The given differential equation is

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A: Let's find linear differential equation.

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Q: 3. Solve (2xy – y² + y)dx + (3x² – 4xy + 3x)dy = 0. (Non Exact) 4. Solve the following FOLDE: (2у +…

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A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: +z-y=3e' %3D dt dr dy + 2r+2y= e' dt dt

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A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

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Q: Determine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2…

A: Simply put z= 2x-3y and solve .

Q: 3. Solve (x+y-1)dy = (x-y-3)dx 4. Solve dy/dx = (y+x)/x 5. Solve dy/dx +y = exp(3x)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

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A: So option b is correct.

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Q: olve (2xy*e +

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A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

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