Chapter 9.3, Problem 33E

Solutions in implicit form Solve the following initial value problems and leave the solution in implicit form. Use graphing software to plot the solution. If the implicit solution describes more than one function, be sure to indicate which function corresponds to the solution of the initial value problem.

33. $y\text{'}(t)=\frac{2t^2}{y^2-1},y(0)=0$