Internal problem ID [13825]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } t +y=t^{3}} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve([t*diff(y(t),t)+y(t)=t^3,y(1) = 0],y(t), singsol=all)
\[ y = \frac {t^{4}-1}{4 t} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 17
DSolve[{t*y'[t]+y[t]==t^3,{y[1]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t^4-1}{4 t} \]