Question

slove(x+1)dy/dx-y=e³x(x+1)²​

Answer 1

Step-by-step explanation:

The given equation is dxdy−x+1y=e3x(x+1)

I.F. =e∫−x+11dx=e−log(x+1)=x+11

The solution is

y(x+11)=∫e3x(x+1).x+11dx+a

⇒x+1y=∫e3xdx+a=3e3x+a

⇒x+13y=e3x+c,c=3a