Internal problem ID [1679]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.4. Page 24
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {3 t y^{\prime }-\cos \relax (t ) y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([3*t*diff(y(t),t) = cos(t)*y(t),y(1) = 0],y(t), singsol=all)
\[ y \relax (t ) = 0 \]
✓ Solution by Mathematica
Time used: 0.001 (sec). Leaf size: 6
DSolve[{3*t*y'[t] == Cos[t]*y[t],y[1]==0},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 0 \\ \end{align*}