Solve the differential equation.
-$$4 y ^ { \prime } = e ^ { x / 4 } + y$$
A) $y = \frac { - x e ^ { x / 4 } + C e ^ { x / 4 } } { 4 }$
B) $y = \frac { x e ^ { x / 4 } + C e ^ { x / 4 } } { 4 }$
C) $y = \frac { x e ^ { x / 4 } + C } { 4 }$
D) $y = x e ^ { x / 4 } + C e ^ { x / 4 }$

Question

Quizplus · Accepted Answer

The differential equation is a first-order linear differential equation. Solving it using an integrating factor, we find the solution to be $y = \frac { x e ^ { x / 4 } + C e ^ { x / 4 } } { 4 }$.

Solve the Differential Equation 4y′=ex/4+y4 y ^ { \prime } = e ^ { x / 4 } + y4y′=ex/4+y

Solve the Differential Equation $4 y ^ { \prime } = e ^ { x / 4 } + y$