Internal problem ID [2001]
Book: Mathematical methods for physics and engineering, Riley, Hobson, Bence, second edition,
2002
Section: Chapter 14, First order ordinary differential equations. 14.4 Exercises, page 490
Problem number: Problem 14.30 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_1st_order, _with_symmetry_[F(x)*G(y),0]]]
Solve \begin {gather*} \boxed {\left (2 \sin \relax (y)-x \right ) y^{\prime }-\tan \relax (y)=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([(2*sin(y(x))-x)*diff(y(x),x)=tan(y(x)),y(0) = 0],y(x), singsol=all)
\[ y \relax (x ) = 0 \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 6
DSolve[{(2*Sin[y[x]]-x)*y'[x]==Tan[y[x]],y[0]==0},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ \end{align*}