Dr. Amini
Fall 2022
MATLAB HOMEWORK
Extra 5% Credit
ECE 280
Applied Differential Equations in Electrical Engineering
California State University, Northridge
College of Engineering and Computer Science
Department of Electrical and Computer Engineering
Write (Copy & Paste) Statements of Each Problem Followed By:
MATLAB Code,
Followed By The Results
Due Thursday 12/08/22 o Late Submission Accepted
Name:
Id. No.
1|Page- Dr. Amini
Using MATLAB only, solve the given problems. Type (copy & paste) and number
each problem as assigned in a clear and organized way in the same order given.
Provide the MATLAB code used to solve each problem and the results obtained
immediately after each problem. Separate each problem and solution with the
next. No hand written materials or calculation using calculator or any resources
other than MATLAB will be accepted. Ensure that your name is on every single
page of your report as well as any graph. Submit your report with page 1 above in
pdf format.
1) Solve the given differential equation;
????
????
+ 5 ??(??) = 20
??(0) = 0
2) Solve the given differential equation;
????
????
+ ??(??) = 4 ?????? 4?? + 6 ?????? 4??
??(0) = 10
3) Solve the given differential equation;
?? ?? (??) + 5?? ? (??) + 6??(??) = 2?? ?4??
??(0) = 0
?? ? (0) = 2
4) Solve the given differential equation;
?? ?? (??) + 25??(??) = 2?????? 2??
??(0) = 1
?? ? (0) = 10
5) Solve the differential equation of problem 9 with the following initial conditions;
?? ?? (??) + 6?? ? (??) + 25??(??) = 100
??(0) = 1
6) Solve the given Cauchy-Euler differential equation;
4?? 2
??2 ??
???? 2
+ 8??
????
????
2|Page- Dr. Amini
+ ??(??) = 0
?? ? (0) = 4
7) Evaluate Laplace Transform of f(t).
??(??) = 10???? ?2?? + 5?? + 5
8) Evaluate Laplace Transform of f(t).
??(??) = 10??????4?? + 6??????4??
9) Evaluate Laplace Transform of f(t).
??
??(??) = 8?????? (4?? + ) ? 4?? 2
4
10) Evaluate Inverse Laplace Transform of F(s).
?? (??) =
??+5
?? 2 +6??+25
3|Page- Dr. Amini

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