Differential Equations Question 60
Question: The solution of $ \frac{dy}{dx}+p(x)y=0 $ is
[Kerala (Engg.) 2002]
Options:
A) $ y=c{e^{\int{pdx}}} $
B) $ x=c{e^{-\int{pdy}}} $
C) $ y=c{e^{-\int{Pdx}}} $
D) $ x=c{e^{\int{pdy}}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}+p(x)y=0 $ . It is a linear differential equation I.F. $ ={e^{\int{pdx}}} $ \ Required solution is $ y{e^{\int{pdx}}}=0+c $
Therefore $ y=c{e^{-\int{pdx}}} $ .
BETA
