Differential Equations Question 352
Question: The solution of the differential equation $ \frac{dy}{dx}=x^{2}+\sin 3x $ is
[DSSE 1981]
Options:
A) $ y=\frac{x^{3}}{3}+\frac{\cos 3x}{3}+c $
B) $ y=\frac{x^{3}}{3}-\frac{\cos 3x}{3}+c $
C) $ y=\frac{x^{3}}{3}+\sin 3x+c $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{dy}{dx}=x^{2}+\sin 3x $ .
On integrating, $ y=\frac{x^{3}}{3}-\frac{\cos 3x}{3}+c $ .
BETA
