help me to solve this differential equation???

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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.......

Answers (1)

Torsten
Torsten on 4 Mar 2015
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.
  3 Comments
Torsten
Torsten on 4 Mar 2015
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 on 4 Mar 2015
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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