# 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