Internal problem ID [2376]
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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]
\[ \boxed {y^{\prime \prime }-\sin \left (y\right )=0} \] With initial conditions \begin {align*} \left [y \left (0\right ) = \frac {\pi }{4}, y^{\prime }\left (0\right ) = 0\right ] \end {align*}
With the expansion point for the power series method at \(x = \frac {\pi }{4}\).
✗ Solution by Maple
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=Pi/4);
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
AsymptoticDSolveValue[{y''[x]==Sin[y[x]],{y[0]==Pi/4,y'[0]==0}},y[x],{x,Pi/4,6}]
Not solved