Show that `y=c*e^(-x)` is a solution of differential equation `(dy)/(dx)+y=0`.

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Show that y=Ce^-x is a solution of the differential equation dy/dx+y=0 .

Show that \ y=A e^(B x) is as solution of the differential equation (d^2y)/(dx^2)=1/y((dy)/(dx))^2dot

Show that y=cx+(a)/(c) is a solution of the differential equation y=x(dy)/(dx)+(a)/(dx)

solution of differential equation (dy)/(dx)=(x+e^(x))/(y)

Show that y=c x+a/c is a solution of the differential equation y=x(dy)/(dx)+a/((dy)/(dx))dot

Show that y= Cx+(a)/(C ) is a solution of differential equation y= x(dy)/(dx)+(a)/((dy)/(dx)) , where C is a parameter.

Show that y=b e^x+c e^(2x)\ is a solution of the differential equation (d^2y)/(dx^2)-3(dy)/(dx)+2y=0.

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