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Solve the Differential Equation exdydx+3exy=2,x>0e ^ { x } \frac { d y } { d x } + 3 e ^ { x } y = 2 , x > 0

Question 18

Multiple Choice

Solve the differential equation.
- exdydx+3exy=2,x>0e ^ { x } \frac { d y } { d x } + 3 e ^ { x } y = 2 , x > 0


A) y=e3x+Cex,x>0y = e ^ { - 3 x } + C e ^ { - x } , x > 0
B) y=ex+e3x,x>0y = e ^ { - x } + e ^ { - 3 x } , x > 0
C) y=ex+Ce3x,x>0y = e ^ { - x } + C e ^ { - 3 x } , x > 0
D) y=ex+Ce3x,x>0y = e ^ { x } + C e ^ { - 3 x } , x > 0

Correct Answer:

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