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

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

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

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

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

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

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

Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as Solution of the differential equation (dy)/(dx)=e^(3x-2y)+x^2e^(-2y) is (e^(2y))/(2)=(e^(3x))/(3)+(x^2)/(2)+C Reason (R) : (dy)/(dx)=e^(3x-2y)+x^2e^(-2y) (dy)/(dx)=e^(-2y)(e^(3x)+x^2) separating the variables e^(2y)dy=(e^(3x)+x^2)dx int e^(2y)dy=int(e^(3x)+x^2)dx (e^(2y))/(2)=(e^(3x))/(3)+(x^3)/(3)+C .