84.17.1 problem 10.1 (a)

Internal problem ID [22193]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 10. Linear differential equations. General remarks. Solved problems. Page 54
Problem number : 10.1 (a)
Date solved : Thursday, October 02, 2025 at 08:33:57 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} 2 x y^{\prime \prime }+x^{2} y^{\prime }-y \sin \left (x \right )&=0 \end{align*}

✗ Maple

ode:=2*x*diff(diff(y(x),x),x)+x^2*diff(y(x),x)-y(x)*sin(x) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

ode=2*x*D[y[x],{x,2}]+x^2*D[y[x],x]-Sin[x]*y[x]==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

Not solved

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(x**2*Derivative(y(x), x) + 2*x*Derivative(y(x), (x, 2)) - y(x)*sin(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

False