4) Solve: x.[dy/dx] - y = x²sinx (Hint: Use the integrating factor).

Q: dx dt x = ثر - |

A: A differential equation is said to be a homogeneous differential equation if we can write it in the…

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

A:

Q: 15) S 3x (x³-1)² dx

A:

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: Solve x2y dx=(x3+y3) dy

A:

Q: dx x6 +1

A:

Q: x2y dx=(x3+y3)dy

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

Q: JA 1 dx. /4-

A: ∫14-x2dxFormula∫11-x2dx=sin-1(x)+C

Q: Solve

A: