Internal problem ID [14257]
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: 28.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+3 t^{2} y={\mathrm e}^{-t^{3}}} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([diff(y(t),t)+3*t^2*y(t)=exp(-t^3),y(0) = 2],y(t), singsol=all)
\[ y \left (t \right ) = \left (t +2\right ) {\mathrm e}^{-t^{3}} \]
✓ Solution by Mathematica
Time used: 0.057 (sec). Leaf size: 16
DSolve[{y'[t]+3*t^2*y[t]==Exp[-t^3],{y[0]==2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t^3} (t+2) \]