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Unformatted text preview: a. Show that y ( t ) = sin( t ) and y ( t ) =-cos( t ) both satisfy the given dierential equation. b. Can you nd some other functions that also satisfy the dierential equation? c. In reality, Bobs oscillatory motion will slowly fade away. A more realistic dierential equation would be y 00 ( t ) =-2 y ( t )-2 y ( t ) . Check that y ( t ) = e-t sin( t ) satises this equation. 2...
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