solve: apply the method of reduction of order to find a second solution of the given differential equation. (x-1)y''-xy'+y=0, x>1; y1(x)= e^x Theme: Repeated Roots; order reduction

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: a) State the order of the differential equation and determine whether the equation is linear or…

A: This is non homogeneous differential equation.

Q: (бх + у?)dх + y(2х — Зу)dy %3D 0

A: We have to solve given problem:

Q: Solve the differential equation: y' 2x2+y? -2xy+3y^2

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Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: Solve the differential equation using Separable of variables.

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Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: olve this differential equation: (x+1)y''-xy'-y=2x(x+1) I need complete solution please, thanks in…

A: Given differential equation is , x+1y''-xy'-y=2xx+1. It can be re written as, y''-xx+1y'-1x+1y=2x…

Q: -3z y" + 6y' + 9y = for a> 0.

A:

Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

A:

Q: Solve the differential equation. (t-6)^4 sprime+5(t-6)^3 s = t+6,  t>6

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Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

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Q: -dy x + 3y²/x2 + 1- = 0, dx y(0) = 1

A: The given differential equation is a variable seperable equation which can be solved as shown...

Q: Q3: A) Solve: B) Solve: The differential equation: x³y + 3xy" + xy' +8y=1/ (x² + 3y2)dx-2xy dy

A: Note : As per our Guidelines we can solve first question as your both parts are not small. Please…

Q: Solve the differential equation: x? (p? - y ) +y =x* +2xyp

A: For the detailed solution of the problem follow the next steps.

Q: Determine the domain of the function as a solution to the differential equati

A: As the function y=tan(x) has a domain  , one may assume the question is concern only in