Differential Equations Question 329
Question: The solution of $ \frac{dy}{dx}=e^{x}(\sin x+\cos x) $ is
Options:
A) $ y=e^{x}(\sin x-\cos x)+c $
B) $ y=e^{x}(\cos x-\sin x)+c $
C) $ y=e^{x}\sin x+c $
D) $ y=e^{x}\cos x+c $
Show Answer
Answer:
Correct Answer: C
Solution:
Given equation $ \frac{dy}{dx}=e^{x}(\sin x+\cos x) $
Therefore $ dy=e^{x}(\sin x+\cos x)dx $
On integrating, we get $ y=e^{x}\sin x+c $ .
BETA
