The solution of the differential equation `(d^2y)/(dx^2)=sin3x+e^x+x^2` when `y_1(0)=1` and `y(0)` is

The solution y(x) of the differential equation (d^(2)y)/(dx^(2))=sin3x+e^(x)+x^(2) when y_(1)(0)=1 and y(0)=0 is

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , when y(0)=1 is

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)=0 is

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Solution of the differential equation (x^(2)+2y^(2))dx-xy dy=0, when y (9)=0 is