Solve for the particular solution, yp- y" - 6y' + 9y = 6x +2– 12e* y(1) = 0; y'(1) = -1

Q: Solve: x'y" - 7xy' + 41y =0

A:

Q: Solve x*y"- 2x(1+x)y'+2(1+x)y= x'

A:

Q: Solve y" +5y' = (2x+1)e" -5x

A:

Q: Let y₁ = xe-* be a solution of the equation y" + 2y' + y = 0. Find the second solution from y₁ by…

A: We know that if y1 be a solution to the second order homogeneous lineardifferential equation…

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

A:

Q: - 6 = ₁6 -X

A: Given: The differential equation is y'=y-xx-y+2. To find: Solution of the differential equation.…

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

A:

Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

A:

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: Determine all solutions. y'= (x-y + 3)²

A:

Q: The general solution of y' x2 can be written in the form

A:

Q: Find a particular solution to the given higher-order equation. y'"' - y'' - 22y' +40y = - 40t²…

A:

Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: Solve: y(4) + 18y"+81y = 0 y(0) = -4, y'(0) = 11, y"(0) = 60, y"(0) = -81

A:

Q: 2y" --2y' +2y=6+2e¹/2

A:

Q: Solve 16y" – 8y" + y' = 0

A: Write the auxiliary equation first and find it's roots.

Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: -5 -4 -3 -2 -1 n y = دیار 2- 7 1 -2- -3- -4 2 3 4 10 5 Write an equation for the function graphed…

A: Given graph

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

A:

Q: Solve for the particular solution: x²y" - xy' - 3y = In x. Oyp = (In x)/3 - 2/9 yp = -x/3 + 2/9 Oyp…

A:

Q: y' = (4x + y)?

A:

Q: y" + 2y'-3y 7x-3x.

A:

Q: -y(2x+y) x(x+2y) - y'=-

A:

Q: Solve x'y-5xy+13y-0

A: