2.3 problem 3

Internal problem ID [481]

Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section: Section 2.2. Page 48
Problem number: 3.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

Solve \begin {gather*} \boxed {\sin \relax (x ) y^{2}+y^{\prime }=0} \end {gather*}

Solution by Maple

Time used: 0.002 (sec). Leaf size: 14

dsolve(sin(x)*y(x)^2+diff(y(x),x) = 0,y(x), singsol=all)
 

\[ y \relax (x ) = -\frac {1}{\cos \relax (x )-c_{1}} \]

Solution by Mathematica

Time used: 0.116 (sec). Leaf size: 19

DSolve[Sin[x]*y[x]^2+y'[x]== 0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -\frac {1}{\cos (x)+c_1} \\ y(x)\to 0 \\ \end{align*}