Internal problem ID [12573]
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: 32.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-t y^{2}-2 y^{2}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.062 (sec). Leaf size: 16
dsolve([diff(y(t),t)=t*y(t)^2+2*y(t)^2,y(0) = 1],y(t), singsol=all)
\[ y \left (t \right ) = -\frac {2}{t^{2}+4 t -2} \]
✓ Solution by Mathematica
Time used: 0.219 (sec). Leaf size: 17
DSolve[{y'[t]==t*y[t]^2+2*y[t]^2,{y[0]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {2}{t^2+4 t-2} \]