Find the particular integral of `(D^2-3D+2)y=e^(3x)`

Find the particular solution of d^2 y/dx^2 =2x ,given that x=0,y=2 and dy/dx =3 .

Find the P.I of (D-2)^(2)y=e^(2x)

Find the P.I of (D-2)^(2)y=e^(2x)

Find the particular solution of the differential equation (1+e^(2 x)) d y+(1+y^2) e^x d x=0 given that y=1 when x=0

Find the order and degree of ((d^(3)y)/(dx^(3)))^(2)-3((dy)/(dx))^(2)-e^(x)=4 .

Find the particular solution of the differential equation. (d y)/(d x)+y cot x=2 x+x^2 cot x(x ne 0) given that y=0 when x=pi/2

Consider the D.E dy/dx+y/x=x^2 Find the particular solution when x=1 , y=1

Find the order and degree of (d^3y)/dx^3+x^2((d^2y)/dx^2)^3=0

Find the integrals int(4 e^(3x)+1) d x

Find the integrals int(2 x^2-3 sin x+5 sqrt(x)) d x