1.26 problem 29

Internal problem ID [12570]

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: 29.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }+y^{2}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0] \end {align*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 5

dsolve([diff(y(t),t)=-y(t)^2,y(0) = 0],y(t), singsol=all)
 

\[ y \left (t \right ) = 0 \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 6

DSolve[{y'[t]==-y[t]^2,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 0 \]