Internal problem ID [524]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.4. Page 76
Problem number: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }+\frac {4 t}{y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 27
dsolve(diff(y(t),t) = -4*t/y(t),y(t), singsol=all)
\begin{align*} y \relax (t ) = \sqrt {-4 t^{2}+c_{1}} \\ y \relax (t ) = -\sqrt {-4 t^{2}+c_{1}} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.087 (sec). Leaf size: 46
DSolve[y'[t]== -4*t/y[t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\sqrt {2} \sqrt {-2 t^2+c_1} \\ y(t)\to \sqrt {2} \sqrt {-2 t^2+c_1} \\ \end{align*}