The solution of the differential equation `y'+y=0` is ….....

A solution of the differential equation y'=y is

Verify that the function y=cosx-sinx is a solution of the differential equation y''+y=0.

The solution of the differential equation (dy)/(dx) + y = x is :

Verify that the function y''+4y=0 is a solution of the differential equation y=3sin 2x.

Show that y=(a+bx)e^(2x) is a solution of the differential equation y''-4y'+4y=0.

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is

The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

The solution of the differential equation y^(prime prime prime)-8y^(prime prime)=0, where y(0)=1/8,y^(prime)(0)=0,y^(prime prime)(0)=1 , is

Cheak whether y=e^(-x)+2 is a solution of the differential equation y_(1)+y=2.