Internal problem ID [15048]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 6. Linear equations of the first order. The Bernoulli equation. Exercises page
54
Problem number: 155.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } \sin \left (x \right )+y \cos \left (x \right )=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(sin(x)*diff(y(x),x)+y(x)*cos(x)=1,y(x), singsol=all)
\[ y \left (x \right ) = \left (x +c_{1} \right ) \csc \left (x \right ) \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 12
DSolve[Sin[x]*y'[x]+y[x]*Cos[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to (x+c_1) \csc (x) \]