The solution of (dy/dx)=e^(x-y)+x^2e^(-y...

The solution of `(dy/dx)=e^(x-y)+x^2e^(-y)` is

A

`e^(-y) =e^x+(x^3)/3+C`

B

`e^y =e^x +(x^3)/3+C`

C

`e^(-y) =e^(-x) +(x^3)/3+C`

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

General solution of (dy)/(dx)=e^(2x-y)+x^(3)e^(-y) is

The solution of (dy)/(dx)+y=e^(x) is

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

The solution of x(dy)/(dx)+y=e^x is

The solution of (dy)/(dx)+1 = e^(x+y) is

" 9.The solution of "(dy)/(dx)=e^(x+y)+x^(2)e^(x^(3)+y)" is "

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

The solution of x(dy)/(dx)+y=e^(x)"is"

Solve: (dy)/(dx)=e^(x-y)+x^2e^(-y)

The solution of (dy)/(dx)+y=e^(-x), y(0)=0 is