The general solution to the second order linear homogeneous differential equation $\mathrm{y}^{\prime \prime}-6 \mathrm{y}^{\prime}+25 \mathrm{y}=0$ is
(A) $e^{3 x}(a \cos 4 x+b \sin 4 x)$
(B) $e^{3 i x}(a \cos 4 x+b \sin 4 x)$
(C) $e^{4 x}(a \cos 3 x+b \sin 3 x)$
(D) $e^{4 i x}(a \cos 3 x+b \sin 3 x)$

Question ID - 156473 | SaraNextGen Top Answer

The general solution to the second order linear homogeneous differential equation $\mathrm{y}^{\prime \prime}-6 \mathrm{y}^{\prime}+25 \mathrm{y}=0$ is
(A) $e^{3 x}(a \cos 4 x+b \sin 4 x)$
(B) $e^{3 i x}(a \cos 4 x+b \sin 4 x)$
(C) $e^{4 x}(a \cos 3 x+b \sin 3 x)$
(D) $e^{4 i x}(a \cos 3 x+b \sin 3 x)$