Ploting some ode's solution.
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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
回答（1 个）
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
9 个评论
Yeachan Choi
2022-5-26
Torsten
2022-5-26
Not clear. Include your precise assignment question.
Yeachan Choi
2022-5-26
Torsten
2022-5-26
I don't understand
But I want to make this for polynomial equation. (I will use Taylor Series.)
Can you give an example ?
Yeachan Choi
2022-5-26
So you want to make the ansatz
y(t) = sum_{i=0}^{i=oo} a_i * t^i
and determine the coefficients a_i ?
Yeachan Choi
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 ?
Yeachan Choi
2022-5-26
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2022-5-25
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