# Need help with second-order ordinary differential equation

• May 17th 2009, 04:13 PM
meks
Need help with second-order ordinary differential equation
I am finishing up my year of Calc I/II BC. Our teacher is giving us some differential equations work. I don't understand it. Could I get some help with the attached problem.

Thanks,
Meks
• May 18th 2009, 07:59 AM
Jester
Quote:

Originally Posted by meks
I am finishing up my year of Calc I/II BC. Our teacher is giving us some differential equations work. I don't understand it. Could I get some help with the attached problem.

Thanks,
Meks

Try the substitution $y = u y_1$ where $y_1$ satisfies the original ODE and you'll get an ODE for $u$ (missing $u$, just $u'$ and $u''$) so letting $v = u'$ you'll get a linear first order ODE which you can solve.

That should get you started.