" (2) "4(dy)/(dx)+8y=5e^(-3x)

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

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

4 dy/dx + 8y = 5 e^(-3x)

Solve the following differential equation: 4(dy)/(dx)+8y=5e^(-3x)

Solve the differential equation: 4(dy)/(dx)+8y=5e^(-3x)

Solve the following differential equation: 4(dy)/(dx)+8y=5\ e^(-3x)

(dy)/(dx)+y cot x=5e^(cos x)

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 .