Internal problem ID [14202]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 44.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {-x^{\prime }=-\sin \left (y \right )^{2}} \] With initial conditions \begin {align*} [x \left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([sin(y)^2=diff(x(y),y),x(0) = 0],x(y), singsol=all)
\[ x \left (y \right ) = \frac {y}{2}-\frac {\sin \left (2 y \right )}{4} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 17
DSolve[{Sin[y]^2==x'[y],{x[0]==0}},x[y],y,IncludeSingularSolutions -> True]
\[ x(y)\to \frac {1}{2} (y-\sin (y) \cos (y)) \]