Internal
problem
ID
[11431]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
2,
linear
second
order
Problem
number
:
1427
Date
solved
:
Tuesday, January 28, 2025 at 06:05:49 PM
CAS
classification
:
[[_2nd_order, _with_linear_symmetries]]
✓ Solution by Maple
Time used: 0.885 (sec). Leaf size: 88
dsolve(diff(diff(y(x),x),x) = -(-(a^2*b^2-(a+1)^2)*sin(x)^2-a*(a+1)*b*sin(2*x)-a*(a-1))/sin(x)^2*y(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 1.741 (sec). Leaf size: 94
DSolve[D[y[x],{x,2}] == -(Csc[x]^2*((1 - a)*a - (-(1 + a)^2 + a^2*b^2)*Sin[x]^2 - a*(1 + a)*b*Sin[2*x])*y[x]),y[x],x,IncludeSingularSolutions -> True]