Internal problem ID [13008]
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: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {y}{1+t}=t^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(y(t),t)=-y(t)/(1+t)+t^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {3 t^{4}+4 t^{3}+12 c_{1}}{12 t +12} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 28
DSolve[y'[t]==-y[t]/(1+t)+t^2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {3 t^4+4 t^3+12 c_1}{12 t+12} \]