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]
\[ \boxed {\sin \left (x \right ) y^{2}+y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve(sin(x)*y(x)^2+diff(y(x),x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {1}{\cos \left (x \right )-c_{1}} \]
✓ Solution by Mathematica
Time used: 0.132 (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*}