Internal problem ID [13060]
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. Review Exercises for chapter 1. page
136
Problem number: 47.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y^{2}=3} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 14
dsolve([diff(y(t),t)=3-y(t)^2,y(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = \sqrt {3}\, \tanh \left (\sqrt {3}\, t \right ) \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 37
DSolve[{y'[t]==3-y[t]^2,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {\sqrt {3} \left (e^{2 \sqrt {3} t}-1\right )}{e^{2 \sqrt {3} t}+1} \]