Internal
problem
ID
[8539]
Book
:
Second
order
enumerated
odes
Section
:
section
2
Problem
number
:
4
Date
solved
:
Sunday, November 10, 2024 at 09:12:29 PM
CAS
classification
:
[_Liouville, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]
Solve
`Methods for second order ODEs: --- Trying classification methods --- trying 2nd order Liouville <- 2nd_order Liouville successful`
Solving time : 0.009
(sec)
Leaf size : 34
dsolve(diff(diff(y(x),x),x)+(sin(x)+2*x)*diff(y(x),x)+cos(y(x))*y(x)*diff(y(x),x)^2 = 0, y(x),singsol=all)
Solving time : 1.456
(sec)
Leaf size : 53
DSolve[{D[y[x],{x,2}]+(Sin[x]+2*x)*D[y[x],x]+Cos[y[x]]*y[x]*(D[y[x],x])^2==0,{}}, y[x],x,IncludeSingularSolutions->True]