stepforce - 2 y/dt 2 )is discontinuous. M A T H 3 4 2 S t e...

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MATH 342-010 Di f erential Equations with Linear Algebra II October 7, 2009 Simple Step Forcing Here is a graph of the solution for (t ϵ 0, 4 ) of d 2 y/dt 2 + y = f(t), y(0)= dy/dt (0) = 0. Here is a graph of dy/dt vs. t for the same range. Again, there are no discontinuities, but we see that the derivative of dy/dt (namely d
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Unformatted text preview: 2 y/dt 2 )is discontinuous. M A T H 3 4 2 S t e p . 2 Here is a graph of d 2 y/dt 2 vs. t for the same range. Since y and dy/dt are continuous, but the forcing is not, d 2 y/dt 2 must be discontinuous....
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This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.

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stepforce - 2 y/dt 2 )is discontinuous. M A T H 3 4 2 S t e...

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