Internal
problem
ID
[3347]
Book
:
Differential
Equations
by
Alfred
L.
Nelson,
Karl
W.
Folley,
Max
Coral.
3rd
ed.
DC
heath.
Boston.
1964
Section
:
Exercise
40,
page
186
Problem
number
:
13
Date
solved
:
Monday, January 27, 2025 at 07:34:37 AM
CAS
classification
:
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]
Using series method with expansion around
With initial conditions
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 26
Order:=7; dsolve([diff(y(x),x$2)=sin(y(x)),y(0) = 1/4*Pi, D(y)(0) = 0],y(x),type='series',x=0);
✓ Solution by Mathematica
Time used: 0.156 (sec). Leaf size: 40
AsymptoticDSolveValue[{D[y[x],{x,2}]==Sin[y[x]],{y[0]==Pi/4,Derivative[1][y][0] ==0}},y[x],{x,0,"7"-1}]