Internal problem ID [3040]
Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 3(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\cot \left (x \right ) y^{\prime }+y=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(cot(x)*diff(y(x),x)+y(x)=x,y(x), singsol=all)
\[ y \left (x \right ) = \left (\frac {x}{\cos \left (x \right )}-\ln \left (\sec \left (x \right )+\tan \left (x \right )\right )+c_{1} \right ) \cos \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.081 (sec). Leaf size: 45
DSolve[Cot[x]*y'[x]+y[x]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x+\cos (x) \left (\log \left (\cos \left (\frac {x}{2}\right )-\sin \left (\frac {x}{2}\right )\right )-\log \left (\sin \left (\frac {x}{2}\right )+\cos \left (\frac {x}{2}\right )\right )+c_1\right ) \]