I can't get desolve_laplace to give me a good output. I had already
tried the regular solve (desolve) and it gave to told me that it
cannot solve that equation. This is my code:
sage: (g,t) = var('g,t')
sage: y=function('y',t)
sage: DEiii = pi * (39/100*y + 1/2)^2* diff(y,t) + a * sqrt(2*g*y)
sage: a = .5^2*pi
sage: DEiii
1/10000*(39*y(t) + 50)^2*pi*D[0](y)(t) + 0.250000000000000*pi*sqrt(g*y
(t))*sqrt(2)
sage: desolve(DEiii, [y,t])
Traceback (most recent call last):
...
NotImplementedError: Maxima was unable to solve this system.
sage: desolve_laplace(DEiii, ["t","y"], [0,50,0])
"?%ilt(-(1521*'laplace('y(t)^2*'diff('y(t),t,1),t,false)+3900*'laplace
('y(t)*'diff('y(t),t,1),t,false)+2500*sqrt(2)*'laplace(sqrt(g*'y
(t)),t,false)-125000)/(2500*false),false,t)"
Perhaps it's because I can't understand the output, but if anyone
could help me with this, thank you.
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