## declare variables
var('x')
y = function('y')(x)
## third order deq
deq = derivative(y,x,3) + y == 0
## y(y)==0, y'(0)==0, y''(2)==1
ics = [0,0, 0,0, 2,1]
## solution
soln = desolve(deq,y)
returns:
NotImplementedError: Maxima was unable to solve this ODE. Consider to set
option contrib_ode to True.
However, maxima can solve this ODE.
sage: maxima('desolve(deq,y(x))')
y(x)=%e^(x/2)*(sin(sqrt(3)*x/2)*(2*(2*('at('diff(y(x),x,2),x=0))+'at('diff(y(x),x,1),x=0)-y(0))/3-('at('diff(y(x),x,2),x=0)-'at('diff(y(x),x,1),x=0)-2*y(0))/3)/sqrt(3)-cos(sqrt(3)*x/2)*('at('diff(y(x),x,2),x=0)-'at('diff(y(x),x,1),x=0)-2*y(0))/3)+%e^-x*('at('diff(y(x),x,2),x=0)-'at('diff(y(x),x,1),x=0)+y(0))/3
How do I solve this equation with ics?
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