Internal problem ID [12547]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-t^{4} y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(t),t)=t^4*y(t),y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{\frac {t^{5}}{5}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 22
DSolve[y'[t]==t^4*y[t],y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to c_1 e^{\frac {t^5}{5}} y(t)\to 0 \end{align*}