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# fe2 - MAP2302 Final 1 Given the equation 5y(t y(t 7y(t =...

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MAP2302 Final 1. Given the equation 5 y 00 ( t ) - y 0 ( t )+7 y ( t ) = 3 te 4 t cos 2 t + t 2 e t +4 t 3 e 2 t sin 4 t - (2 / 3) e t +9 e 2 t cos 4 t , if the Method of Undetermined Coeﬃcients and the Principle of Superposition are used to ﬁnd a particular solution, what is the minimum number of nonhomogeneous equations which must be solved: A. two B. three C. four D. ﬁve E. six 2. A given second order, linear, non-homogeneous equation with constant coeﬃcients has two linearly independent solutions y 1 ( t ) = e 2 t and y 2 ( t ) = e - t to the accompanying homogeneous equa- tion; if A = 1 and the nonhomogeneous term is given by f ( t ) = 6 e 4 t , the method of variation of parameters gives a general solution as: A. y g ( t ) = c 1 e - t + c 2 e 2 t + e 4 t B. y g ( t ) = c 1 e - t + c 2 e 2 t +(3 / 5) e 4 t C. y g ( t ) = c 1 e - t + c 2 e 2 t +(2 / 5) e 4 t D. y g ( t ) = c 1 e - t + c 2 e 2 t + te 4 t + (2 / 5) e 4 t E. y g ( t ) = c 1 e - t + c 2 e 2 t + te 3 t + (4 / 3) e 4 t 3. Given the IVP 2

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fe2 - MAP2302 Final 1 Given the equation 5y(t y(t 7y(t =...

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