Chapter D1.3, Problem 32E

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

32.     $z^{\prime }\left(x\right)=\frac{z^2+4}{x^2+16},z\left(4\right)=2$