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2 8 pts suppose that the laplace transform of the

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2. (8 pts.) Suppose that the Laplace transform of the solution to a certain initial value problem involving a linear differential equation with constant coefficients is given by Write the solution to the IVP in piecewise-defined form. ______________________________________________________________________ 3. (12 pts.) Without evaluating any integrals and using only the table provided, properties of the Laplace transform, and appropriate function identities, obtain the Laplace transform of each of the functions that follows. (4 pts./part) (a) (b) (c)
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MAP2302/FinalExam Page 4 of 6 ______________________________________________________________________ 4. (10 pts.) Obtain the recurrence formula(s) satisfied by the coefficients of the power series solution y at x 0 = 0, an ordinary point of the homogeneous ODE, ______________________________________________________________________ 5. (10 pts.) (a) (4 pts.) Obtain the differential equation satisfied by the family of curves defined by the equation (*) below. (b)
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2 8 pts Suppose that the Laplace transform of the solution...

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