Differential-Equations Question 366
Question: Solution of differential equation $ \frac{dy}{dx}=\sin x+2x $ , is
[MP PET 1997]
Options:
A) $ y=x^{2}-\cos x+c $
B) $ y=\cos x+x^{2}+c $
C) $ y=\cos x+2 $
D) $ y=\cos x+2+c $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \int_{{}}^{{}}{dy}=\int_{{}}^{{}}{\sin xdx}+\int_{{}}^{{}}{2xdx} $ Þ $ y=-\cos x+x^{2}+c $ .