Internal problem ID [12258]
Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A.
Dobrushkin. CRC Press 2015
Section: Chapter 4, Second and Higher Order Linear Differential Equations. Problems page
221
Problem number: Problem 18(b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _exact, _linear, _homogeneous]]
\[ \boxed {x y^{\prime \prime }+y^{\prime } \sin \left (x \right )+y \cos \left (x \right )=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 24
dsolve(x*diff(y(x),x$2)+sin(x)*diff(y(x),x)+cos(x)*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{1} \left (\int \frac {{\mathrm e}^{\operatorname {Si}\left (x \right )}}{x^{2}}d x \right )+c_{2} \right ) {\mathrm e}^{-\operatorname {Si}\left (x \right )} x \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y''[x]+Sin[x]*y'[x]+Cos[x]*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved