# Total Solution Differential Equation

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MathWizardry on 2 Sep 2021
Edited: Wan Ji on 2 Sep 2021
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')
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### Answers (1)

Wan Ji on 2 Sep 2021
Edited: Wan Ji on 2 Sep 2021
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)
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