QuestionSolve the initial value problem $y' = 9ty^2$, $y(0) = y_0$, and find how the solution interval depends on $y_0$.

Studdy Solution
olving for $t$, we get$$t \neq \pm \sqrt{\frac{2}{9y_{0}}}$$So, the solution exists for all $t$ except for $t = \pm \sqrt{\frac{2}{9y_{0}}}$.