Internal problem ID [13011]
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: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {2 y}{t}={\mathrm e}^{t} t^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t)-2/t*y(t)=t^3*exp(t),y(t), singsol=all)
\[ y \left (t \right ) = \left ({\mathrm e}^{t} \left (t -1\right )+c_{1} \right ) t^{2} \]
✓ Solution by Mathematica
Time used: 0.082 (sec). Leaf size: 19
DSolve[y'[t]-2/t*y[t]==t^3*Exp[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t^2 \left (e^t (t-1)+c_1\right ) \]