Ask Questions, Get Answers

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

Which of the following differential equations has $y\;=\;c_1e^x+c_2e^{-x}$ as the general solution?


Can you answer this question?

1 Answer

0 votes
  • Differentiation of $e^x = e^x$
Step 1:
Given: $y = c_1 e^x + c_2e^{-x}$
Differentiating this we get
$c_1e^x - c_2e{-x} = y'$
Step 2:
Again differentiating we get,
$c_1e^x + c_2e^{-x} = y''$
$y = y''$
Hence $y'' - y = 0$
Hence option B is the correct answer.
answered Aug 15, 2013 by sreemathi.v

Related questions

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