Ploting some ode's solution.

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Yeachan Choi
Yeachan Choi 2022-5-25
编辑： Torsten 2022-5-26
hello. I want to plot some graph that ode(ordinary differential equation)'s solution(I will make this solution to polynomial from exponential with Taylor Series) . How can I plot that? How can I code it?
y''-5y'+4y = 0

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Torsten
Torsten 2022-5-25
编辑：Torsten 2022-5-25
The general solution is
y(t) = C1*exp(4*t) + C2*exp(t)
for arbitrary constants C1 and C2.
Look up "dsolve" and the examples provided under
https://de.mathworks.com/help/symbolic/dsolve.html
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Torsten
Torsten 2022-5-26
编辑：Torsten 2022-5-26
I give up.
All solutions to the equation
y''-5y'+4y = 0
are given by
y(t) = C1*exp(4*t) + C2*exp(t)
for constants C1 and C2.
There are no polynomial solutions, except for the case that C1 = C2 = 0.
So I can't understand what you mean "you want to make the solution a polynomial function".
Of course, you can do
syms C1 C2 t
f = C1*exp(4*t) + C2*exp(t);
taylor(f,t,'Order',8)
but why ?

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