National university CEE420L Microelectronics Lab Lab XXXXXXXXXXpoints Week 2 Learning Outcomes After completing this Lab-2 you will be able to explain or/and perform the following activities: a-...

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Answered 4 days AfterJun 07, 2021

Answer To: National university CEE420L Microelectronics Lab Lab XXXXXXXXXXpoints Week 2 Learning Outcomes After...

Shomik answered on Jun 11 2021
158 Votes
Module 3 MATLAB Homework
We can solve differential equations in MATLAB by using Laplace transforms.
For instance, to solve Example 1 on page 87 of our book,
>> syms y(t) s
>> eqn=diff(y,t)+3*y==1;
>> eqnLT=laplace(eqn,t,s) % Take the Laplace transform

eqnLT =

s*laplace(y(t), t, s) - y(0) + 3*laplace(y(t), t, s) == 1/s

>> eqnLT=subs(eqnLT,laplace(y(t)),Y)

eqnLT =

3*Y - y(0) + Y*s == 1/s
>> eqnLT=subs(eqnLT,y(0),1) % Substitute 1 for y(0)

eqnLT =

3*Y + Y*s - 1 == 1/s
>> Y=solve(eqnLT,Y) % Solve for Y

Y =

(1/s + 1)/(s + 3)

>> ilaplace(Y,s,t) % Take the inverse Laplace transform

ans =

(2*exp(-3*t))/3 + 1/3
1. Use MATLAB to solve, by using the...
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