Internal problem ID [12693]
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: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{t +1}=4 t^{2}+4 t} \] With initial conditions \begin {align*} [y \left (1\right ) = 10] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve([diff(y(t),t)=y(t)/(1+t)+4*t^2+4*t,y(1) = 10],y(t), singsol=all)
\[ y \left (t \right ) = 2 t^{3}+2 t^{2}+3 t +3 \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 20
DSolve[{y'[t]==y[t]/(1+t)+4*t^2+4*t,{y[1]==10}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 2 t^3+2 t^2+3 t+3 \]