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 $ .