Differential Equations Question 258
Question: $ y=2cosx+3sinx $ satisfies which of the following differential equations-
- $ \frac{d^{2}y}{dx^{2}}+y=0 $
- $ {{( \frac{dy}{dx} )}^{2}}+\frac{dy}{dx}=0 $ Select the correct answer using the code given below.
Options:
A) 1 only
B) 2 only
C) Both 1 and 2
D) Neither 1 nor 2
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ y=2\cos x+3\sin x $
$ \frac{dy}{dx}=-2\sin x+3\cos x;\frac{d^{2}y}{dx}=-2\cos x-3\sin x $
$ =-(2cosx+3sinx)=-y;\frac{d^{2}y}{dx^{2}}+y=0 $
BETA
