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answered 2019-01-17 15:59:20 +0100
sympy does give a solution, but it leaves you to solve the characteristic equation.
from sympy import * y=Function('y') dsolve(Eq(Derivative(y(x),x,x,x)-3*Derivative(y(x),x,x)+Derivative(y(x),x) -5*y(x), 0), y(x))