General solution to the ordinary differential equation, $\frac{d^{3} y}{d x^{3}}-6 \frac{d^{2} y}{d x^{2}}+11 \frac{d y}{d x}-6 y=0 \text { is }$
(A) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{-2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{-3 \mathrm{x}}$
(B) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{-2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$
(C) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$
(D) $\mathrm{C}_{1} \mathrm{e}^{\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$

Question ID - 157498 | SaraNextGen Top Answer

General solution to the ordinary differential equation, $\frac{d^{3} y}{d x^{3}}-6 \frac{d^{2} y}{d x^{2}}+11 \frac{d y}{d x}-6 y=0 \text { is }$
(A) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{-2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{-3 \mathrm{x}}$
(B) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{-2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$
(C) $\mathrm{C}_{1} \mathrm{e}^{-\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$
(D) $\mathrm{C}_{1} \mathrm{e}^{\mathrm{x}}+\mathrm{C}_{2} \mathrm{e}^{2 \mathrm{x}}+\mathrm{C}_{3} \mathrm{e}^{3 \mathrm{x}}$