Internal problem ID [1644]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.2. Page 6
Problem number: Example 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }+\sin \relax (t ) y=0} \end {gather*} With initial conditions \begin {align*} \left [y \relax (0) = {\frac {3}{2}}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.01 (sec). Leaf size: 11
dsolve([diff(y(t),t)+sin(t)*y(t)=0,y(0) = 3/2],y(t), singsol=all)
\[ y \relax (t ) = \frac {3 \,{\mathrm e}^{\cos \relax (t )-1}}{2} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 15
DSolve[{y'[t]+Sin[t]*y[t]==0,y[0]==3/2},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {3}{2} e^{\cos (t)-1} \\ \end{align*}