AMATH 250 Online Assignment 8
拉普拉斯变换代写 Late penalty is 1% per hour. It is your responsibility to make sure you have time to upload your assignment by the deadline.
Late penalty is 1% per hour. It is your responsibility to make sure you have time to upload your assignment by the deadline.You may use the course materials posted on the course website and the optional text as references. You are also allowed to discuss ideas with your classmates, the course instructor and TAs. Please do not post fifinal answers or give away too much on Piazza; it will be monitored closely. Your submitted work must be written upon your own and should indicate your knowledge of the material.
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- Find the Laplace transform of the piecewise defifined functions f(t) (illustrated below) by expressing the functions in terms of the piecewise function and the Heaviside step function, H(t).
(a) Find L[f(t)]. Assume that 0 <a<b<c always holds.
(b) Find L[f(t)]. Slope of the lines, m, are shown in the graph.
- Determine the Laplace transform of the following functions. Here you may use common identities and known transforms of basic functions, but clearly show each step and brieflfly state which identities/properties you use in each step (i.e. Shift Theorems, Derivative Theorem etc.).
- Find the Laplace transform of the following IVPs.
