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

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

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

Solve the following differential equations. (dy)/(dx )=e^(x-y)+x^2e^(-y)

Solve the following differential equations. (dy)/(dx )=e^(x-y)+x^2e^(-y)

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

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 .

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

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