ODE45 for a second order differential equation
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I have a second order differential equation : y''=(2*y)+(8*x)*(9-x); Boundary Conditions y(0)=0 , y(9)=0 Need to solve the diff eq using ode45.
I've tried watching a bunch of tutorials but I just cannot seem to figure out how the function is written as a column vector [y';y'']. I don't understand it at all and that might make this query vague too.
Hope someone can help with the code or the explanation on how to solve the above.
Thank you
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Accepted Answer
Torsten
on 23 Apr 2018
[x,y] = ode45(@fun,[0 9],[0 -28]);
function dy = fun(x,y)
dy = zeros(2,1);
dy(1) = y(2);
dy(2) = 2*y(1)+8*x*(9-x);
But for a boundary value problem like yours, you will have to use "bvp4c" instead of "ode45".
Best wishes
Torsten.
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More Answers (2)
Stephan
on 22 Apr 2018
Edited: Stephan
on 22 Apr 2018
Hi,
transform a n-th order ode into a system of n 1st order ode's to solve it.
Matlab documentation example: https://de.mathworks.com/help/matlab/math/solve-nonstiff-odes.html
If you read this i guess you can quickly solve your problem.
2 Comments
Ebraheem Menda
on 30 Jun 2021
Edited: Ebraheem Menda
on 30 Jun 2021
In this case you have declared the name of the function and its output both with the same name 'fun'. That is the problem it seems.
NARSIRAM GURJAR
on 16 Sep 2019
C:\Users\remst\Desktop\ode45.m
save this file with different name
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