Differential Equations Question 211
Question: Which of the following equation is linear
Options:
A) $ \frac{dy}{dx}+xy^{2}=1 $
B) $ x^{2}\frac{dy}{dx}+y=e^{x} $
C) $ \frac{dy}{dx}+3y=xy^{2} $
D) $ x\frac{dy}{dx}+y^{2}=\sin x $
Show Answer
Answer:
Correct Answer: B
Solution:
$ x^{2}\frac{dy}{dx}+y=e^{x} $ can be written as $ \frac{dy}{dx}+\frac{y}{x^{2}}=\frac{e^{x}}{x^{2}} $ , which is a linear equation.
BETA
