" 2."(dy)/(dx)+x^(2)=x^(2)e^(3y)

Express the following differential equations in the form f(x)dx+g(y)dy = 0 (i) (dy)/(dx) = (2y)/(x) (ii) x+y(dy)/(dx) = 0 (iii) (dy)/(dx) = e^(x-y) + x^(2).e^(-y) (iv) (dy)/(dx) + x^(2) = x^(2)e^(3y)

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

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

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

Solve : (dy)/(dx)=e^(3x-2y)+x^(2)e^(-2y)

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

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

If y=e^(3 log x+2x)," Prove that "(dy)/(dx)=x^(2) (2x+3) e^(2x) .

The solution of the differential equation (dy)/(dx) = e^(3x-2y) +x^(2)e^(-2y) ,is