10.3.9 problem 13

Internal problem ID [1174]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.4. Page 76
Problem number : 13
Date solved : Monday, January 27, 2025 at 04:39:19 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=-\frac {4 t}{y} \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 27

dsolve(diff(y(t),t) = -4*t/y(t),y(t), singsol=all)
 

\begin{align*} y &= \sqrt {-4 t^{2}+c_1} \\ y &= -\sqrt {-4 t^{2}+c_1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.071 (sec). Leaf size: 46

DSolve[D[y[t],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*}