Internal problem ID [13007]
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 1.9 page 133
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {3 y}{t}=t^{5}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t)=3/t*y(t)+t^5,y(t), singsol=all)
\[ y \left (t \right ) = \frac {\left (t^{3}+3 c_{1} \right ) t^{3}}{3} \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 19
DSolve[y'[t]==3/t*y[t]+t^5,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^6}{3}+c_1 t^3 \]