Total Solution Differential Equation

Hello!

I am trying to use the code I used. Can I ask for a second opinion regarding the codes that I used if its correct or wrong. This is to solve Total Solution Differential Equation using Matlab.

Matlab codes:

>> syms s t

>> dsolve('D2y=-12*Dy-32*y+32','y(0)=0','Dy(0)=0','t')

Answer 1

[Wan Ji]

If u(t) = 1, then your solution is right.

If it is a function with respect to time, then your solution is wrong.

Exact code:

syms y(t) u(t) t
dy = diff(y,t,1);
d2y = diff(y,t,2);
eq = d2y + 12*dy + 32*y - 32*u;
conds = [y(0)==0; dy(0) ==0];
dsolve(eq, conds)