72.7.2 problem 2

Internal problem ID [14743]
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
Date solved : Tuesday, January 28, 2025 at 07:13:26 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }&=\frac {3 y}{t}+t^{5} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 16

dsolve(diff(y(t),t)=3/t*y(t)+t^5,y(t), singsol=all)
 

\[ y = \frac {\left (t^{3}+3 c_{1} \right ) t^{3}}{3} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 19

DSolve[D[y[t],t]==3/t*y[t]+t^5,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {t^6}{3}+c_1 t^3 \]