Internal problem ID [12575]
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: 34.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\frac {1-y^{2}}{y}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = -2] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 16
dsolve([diff(y(t),t)=(1-y(t)^2)/y(t),y(0) = -2],y(t), singsol=all)
\[ y \left (t \right ) = -\sqrt {1+3 \,{\mathrm e}^{-2 t}} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 20
DSolve[{y'[t]==(1-y[t]^2)/y[t],{y[0]==-2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\sqrt {3 e^{-2 t}+1} \]