help me to solve this differential equation???

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chanidu missaka
chanidu missaka 2015-3-4
评论： Andrew Newell 2015-3-4
I am very beginner for matlab? Could anyone please help me to solve this differential equation?
9*[(d^2y)/dt^2]-24*(dy/dt)+16y=0
help me soon.......

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回答（1 个）

Torsten
Torsten 2015-3-4
Fundamental system is
y1(x)=exp(4/3*x)
y2(x)=x*exp(4/3*x)
For a solution in MATLAB: help dsolve
Best wishes
Torsten.
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Torsten
Torsten 2015-3-4
The general solution is given by
y(t)=a*exp(4/3*t) + b*t*exp(4/3*t)
where a and b are constants to be determined from the boundary conditions.
Code:
syms y(t)
S=dsolve(9*diff(y,2)-24*diff(y)+16*y==0);
Best wishes
Torsten.
Andrew Newell
Andrew Newell 2015-3-4
Torsten, in MATLAB Answers we don't do homework for people who simply ask us to do it for them and don't show any sign of having attempted it. See the link I provide at the top of this page.

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