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Unformatted text preview: Note: you must show this explicitly; simply stating that the differential equation is linear is not sufficient. 3) Consider the differential equation: 2 x x = Where each dot represents a derivative with respect to time. You are told that two different functions a ( t ) and b ( t ) are solutions to this equation, but otherwise given no information about the specific form of a ( t ) and b ( t ). Show that a ( t ) + b ( t ) is not generally a solution of the differential equation. Note: you must show this explicitly; simply stating that the differential equation is nonlinear is not sufficient. Serway and Jewett: 16.22, 16.26, 17.23, 17.25, 17.35, 17.38...
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 Fall '08
 JOHNSON
 Chemistry, pH

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