Find a constant coefficient, linear ODE with real coefficients and of the lowest possible order which has y =?

S

Spaceman Spiff

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Find a constant coefficient, linear ODE with real coefficients and of the lowest possible order which has y = e^x sin 4x as an element of its solution set

A) y'' - 2y' + 17y = 0
B) y'' - 8y' + 17y = 0
C) y'' + 2y' + 17y = 0
D) y'' + 8y' + 17y = 0
E) y(4) +8y'' + 16y = 0
F) y'' - 16y' + 17y = 0
G) y'' + 16y' + 17y = 0
H) none of these
 
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