Internal problem ID [7777]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 198.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\cos \left (x \right ) \sin \left (x \right ) y^{\prime }-y-\sin \left (x \right )^{3}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(sin(x)*cos(x)*diff(y(x),x) - y(x) - sin(x)^3=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (-\cos \left (x \right )+c_{1} \right ) \tan \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 15
DSolve[Sin[x]*Cos[x]*y'[x] - y[x] - Sin[x]^3==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\sin (x)+c_1 \tan (x) \\ \end{align*}