Internal problem ID [14568]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.3, page 156
Problem number: 62 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-4 y=t^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t)-4*y(t)=t^2,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {t^{2}}{4}-\frac {t}{8}-\frac {1}{32}+c_{1} {\mathrm e}^{4 t} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 28
DSolve[y'[t]-4*y[t]==t^2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{32} \left (-8 t^2-4 t-1\right )+c_1 e^{4 t} \]