Internal problem ID [517]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.4. Page 76
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y+\left (t -4\right ) t y^{\prime }=0} \end {gather*} With initial conditions \begin {align*} [y \relax (2) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.024 (sec). Leaf size: 19
dsolve([y(t)+(-4+t)*t*diff(y(t),t) = 0,y(2) = 1],y(t), singsol=all)
\[ y \relax (t ) = \frac {\left (\frac {1}{2}+\frac {i}{2}\right ) \sqrt {2}\, t^{\frac {1}{4}}}{\left (-4+t \right )^{\frac {1}{4}}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 20
DSolve[{y[t]+(-4+t)*t*y'[t] == 0,y[2]==1},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {\sqrt [4]{t}}{\sqrt [4]{4-t}} \\ \end{align*}