Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Differential Equations
0 votes

$y=ae^{mx}+be^{-mx}$ satisfies which of the following differential equation?

\[(A)\;\frac{dy}{dx}+my=0 \quad (B)\;\frac{dy}{dx}-my=0\quad(C)\;\frac{d^2y}{dx^2}-m^2y=0 \quad (D)\;\frac{d^2y}{dx^2}+m^2y=0\]

Can you answer this question?

1 Answer

0 votes
  • The general solution of a differential equation is a relation between dependent and independent variable having n arbitary constant.
  • The general solution may have more than one form but the arbitary constants must be the same in numbers
Given $y=ae^{mx}+be^{-mx}$
On differentiaiting w.r.t x we get
Again differentiating w.r.t. x we get
But $ae^{mx}+be^{-mx}=y$
Hence the correct option is $C$
answered May 21, 2013 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App