17.3.2 problem 1.1-4 (b)

Internal problem ID [3432]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-4, page 7
Problem number : 1.1-4 (b)
Date solved : Monday, January 27, 2025 at 07:36:29 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=-\frac {t}{y} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 27

dsolve(diff(y(t),t)=-t/y(t),y(t), singsol=all)
 

\begin{align*} y &= \sqrt {-t^{2}+c_{1}} \\ y &= -\sqrt {-t^{2}+c_{1}} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.082 (sec). Leaf size: 39

DSolve[D[y[t],t]==-t/y[t],y[t],t,IncludeSingularSolutions -> True]
 

\begin{align*} y(t)\to -\sqrt {-t^2+2 c_1} \\ y(t)\to \sqrt {-t^2+2 c_1} \\ \end{align*}