Internal problem ID [12567]
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 1.2. page
33
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-y t=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve([diff(y(t),t)=t*y(t),y(0) = 3],y(t), singsol=all)
\[ y \left (t \right ) = 3 \,{\mathrm e}^{\frac {t^{2}}{2}} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 16
DSolve[{y'[t]==t*y[t],{y[0]==3}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 3 e^{\frac {t^2}{2}} \]