If you are given an empty bucket like the one in Fig. 1.5.8, having a hole in
Question:
(a) Even before setting a time scale, we can see that Picard's Theorem will not apply. Explain why.
(b) Formulate a general initial condition and solve the DE by separation of variables. Why is it impossible to tell how much time has elapsed? Draw several possible solution curves.
(c) Show that the total emptying time is given by2ho/k, where h0 is the initial height of the water in the bucket.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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