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## Homework Statement

I'm not sure if this is actually solvable, or a typo on my homework... but here's the problem in question:

Solve the ODE:

[tex]\frac{d^{2}y}{dt^{2}} + t^{2} \frac{dy}{dt} + y^{2} = 0, y(0)=0, y'(0)=0[/tex]

**Attempt at solution**

I've been stumped on where to even start with this one, but I attempted to substitute [tex]v=y'[/tex]. That didn't get me very far though, so any tips on where to start would be appreciated!

Typo-wise, I'm also wondering if perhaps the [tex]y^{2}[/tex] in the equation is actually just supposed to be a y... which would make it significantly easier.