If the auxiliary equation yields complex conjugate roots of the form m = α ± iβ (where β ≠ 0), what is the resulting geometric/trigonometric general solution?

Question

Answer

y = e^(αx) (c₁ cos(βx) + c₂ sin(βx))

Answer

y = c₁ e^(αx) cos(βx) + c₂ e^(αx) sin(βx)

Answer

Both A and B are mathematically equivalent and correct

Answer

y = (c₁ + c₂x)e^(αx)

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If the auxiliary equation yields complex conjugate roots of the form m = α ± iβ ...

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