Internal problem ID [1941]
Book: Ordinary Differential Equations, Robert H. Martin, 1983
Section: Problem 1.1-2, page 6
Problem number: 1.1-2 (d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\left (\sin ^{2}\relax (t )\right )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(t),t)=sin(t)^2,y(t), singsol=all)
\[ y \relax (t ) = \frac {t}{2}+c_{1}-\frac {\sin \left (2 t \right )}{4} \]
✓ Solution by Mathematica
Time used: 0.007 (sec). Leaf size: 21
DSolve[y'[t]==Sin[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {t}{2}-\frac {1}{4} \sin (2 t)+c_1 \\ \end{align*}