Internal problem ID [14278]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 56.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y=27 t^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t)-3*y(t)=27*t^2,y(t), singsol=all)
\[ y \left (t \right ) = -9 t^{2}-6 t -2+c_{1} {\mathrm e}^{3 t} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 23
DSolve[y'[t]-3*y[t]==27*t^2,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -9 t^2-6 t+c_1 e^{3 t}-2 \]