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laplace transform of diffrential equation with integral #4

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machine85 opened this issue Jun 20, 2019 · 0 comments
Open

laplace transform of diffrential equation with integral #4

machine85 opened this issue Jun 20, 2019 · 0 comments

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@machine85
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Hello,
i saw your great function for "Evaluate the laplace transforms of derivatives of functions":

' ' '
def laplace_transform_derivatives(e):
"""
Evaluate the laplace transforms of derivatives of functions
"""
if isinstance(e, sympy.LaplaceTransform):
if isinstance(e.args[0], sympy.Derivative):
d, t, s = e.args
n = d.args[1][1]
return ((sn) * sympy.LaplaceTransform(d.args[0], t, s) -
sum([s
(n-i) * sympy.diff(d.args[0], t, i-1).subs(t, 0)
for i in range(1, n+1)]))

if isinstance(e, (sympy.Add, sympy.Mul)):
    t = type(e)
    return t(*[laplace_transform_derivatives(arg) for arg in e.args])

return e

' ' '
how to solve diffrential equation with integral ?
example: dy/dt-2y(t)=0.2(1-y(t))+0.1∫(1-y(t))dt

regarsd,
Tomer

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