Math Problem Statement
- Write the input function f(t) as a difference of time-shifted unit step functions.
- Take the laplace transform of the differential equation and solve for Y(s).
- Find the solution of the differential equation by computing the inverse laplace transform for find y(t).
- Plot the solution in MATLAB for time t=0 to t=35.
- Re-write the 3rd order differential equation as a system of three first-order differential equations.
- Use the MATLAB ode45() function to solve the system of equations and plot the solution on a new figure.
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Laplace Transform
Inverse Laplace Transform
System of Differential Equations
Formulas
Laplace transform formula
Inverse Laplace transform formula
Theorems
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Suitable Grade Level
Undergraduate
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