Help finding general solution for 2nd order linear DE

Tags:
1. Sep 5, 2016

Jende

• Member warned that a homework post must include an effort
1. The problem statement, all variables and given/known data
Find the general solution for the DE: t2y''-2y=0

2. Relevant equations
These were given for other parts of the problem so I'm not sure if they're relevant.
y1(t)=t2, y2(t)=t-1, y(1)=-2, y'(1)=-7

3. The attempt at a solution
The t2 at the front was really stumping me and I'm not sure where to begin.

Thanks in advance for any help.

2. Sep 5, 2016

LCKurtz

The earlier parts are relevant. What are $y_1(t)$ and $y_2(t)$? That is, what do they have to do with this problem? Once you answer that, what do you know about solutions of linear equations?

3. Sep 5, 2016

Jende

So it should come out to be: y(x)=C1t2+C2t-1

4. Sep 5, 2016

LCKurtz

So what should come out that? And does it?

5. Sep 5, 2016

Staff: Mentor

The independent variable is t, not x, so the above should be y(t)=C1t2+C2t-1