(D³ – 3D² -3D • 2) y =

Q: x² y' - 2lnx - e2y+4(Inx)/x = 0

A: Given: The given differential equation is x2y'-2lnx-e2y+4lnxx=0

Q: y(1 − lny) d² + (1 + lny) ª dx² dx² = 0

A: Differential equation y1-lnyd2ydx2+1+lnyd2ydx2=0

Q: "-y = x e* Cos?x

A:

Q: II. Find the particular solution of the given differential equation. у"-4y'+13у 3D0, у(0) — —1,…

A:

Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

A:

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

A:

Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

A:

Q: Exercise 2. Find the general solution for the following differential equations: (1) y' + ay = ebt,…

A: Solution: The objective is to find the general solutions of the given differential equations

Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

A:

Q: (d) (x2 + y²) dx – 2xydy = 0 (e) y' + 2xy = 10x (f) (y – 1) sin xdx – dy = 0 -

A:

Q: y"-2y'+5y = e"sinx

A:

Q: y(3) + y" – 2y = xe¬*

A:

Q: Find the general solution of the differential equation.

A: According to the given information it is required to solve the given differential equation:…

Q: y"'+y "– 4y'– 4y = 3e - 4x – 6 |

A:

Q: * + 10x + 21x = 0 x(0) = 4 x(0) = -3

A: