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

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

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

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

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

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

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

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 .

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