Internal problem ID [1937]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime } \sin \relax (x )-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 14
dsolve(diff(y(x),x)*sin(x)=1,y(x), singsol=all)
\[ y \relax (x ) = \ln \left (\csc \relax (x )-\cot \relax (x )\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.007 (sec). Leaf size: 24
DSolve[y'[x]*Sin[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \log \left (\sin \left (\frac {x}{2}\right )\right )-\log \left (\cos \left (\frac {x}{2}\right )\right )+c_1 \\ \end{align*}