How to solve this equation

2022 10 30
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更新时间：2022 10 31
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1 个投票

I need to solve the following differntinal equation:
y' = -(1+2n)y
intial condition y(0)=1 , n=1

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John D'Errico
John D'Errico 2022-10-30
Surely you need to do your own homework assignment?
Raef
Raef 2022-10-30
Its not my homework assignment, my dad is an applied mathematics scientist and has other colleagues that do the computer work which he don't know how to use. So im trying to learn to use matlab to help and contribute so this is the simple equation he gave me to solve and see if I get a result

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Sam Chak
Sam Chak 2022-10-30
Ran in:

2 个投票

Ran in:
@Raef, you are a good son and took up a filial duty to help your father.
n = 1;
y0 = 1; % intial value
F = @(t, y) - (1 + 2*n)*y;
[t, y] = ode45(F, [0 5], y0);
plot(t, y), grid on, xlabel('t'), ylabel('y(t)')

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Torsten
Torsten 2022-10-30

2 个投票

Use pencil and paper.
dy/dt = -(1+2*n)*y
-> dy/y = -(1+2*n)*dt
-> log(y/y0) = -(1+2*n)*(t-t0)
-> y = ?

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Raef
Raef 2022-10-30
Thanks for the response, but i needed done as a graph on matlab
Torsten
Torsten 2022-10-30
编辑：Torsten 2022-10-30
If you know the explicit form of the solution like from the approach with paper and pencil, you can easily graph it.
If you also have to derive the solution with a MATLAB solver, either use "dsolve" or "ode45".

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