A) \[y=c{{e}^{\int{p\,d\,x}}}\]
B) \[x=c{{e}^{-\int{p\,d\,y}}}\]
C) \[y=c{{e}^{-\int{P\,d\,x}}}\]
D) \[x=c{{e}^{\int{p\,d\,y}}}\]
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 \[y{{e}^{\int{pdx}}}=0+c\] Þ \[y=c{{e}^{-\int{pdx}}}\].
You need to login to perform this action.
You will be redirected in
3 sec
