The respective expressions for complimentary function and particular integral part of the solution of the differential equation $\frac{d^{4} y}{d x^{4}}+3 \frac{d^{2} y}{d x^{2}}=108 x^{2}$ are
(A) $\left\lfloor c_{1}+c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[3 x^{4}-12 x^{2}+c\right]$
(B) $\left\lfloor c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right]$ and $\left[5 x^{4}-12 x^{2}+c\right]$
(C) $\left.\mid c_{1}+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[3 x^{4}-12 x^{2}+c\right]$
(D) $\left\lfloor c_{1}+c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[5 x^{4}-12 x^{2}+c\right]$

Question ID - 156310 | SaraNextGen Top Answer

The respective expressions for complimentary function and particular integral part of the solution of the differential equation $\frac{d^{4} y}{d x^{4}}+3 \frac{d^{2} y}{d x^{2}}=108 x^{2}$ are
(A) $\left\lfloor c_{1}+c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[3 x^{4}-12 x^{2}+c\right]$
(B) $\left\lfloor c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right]$ and $\left[5 x^{4}-12 x^{2}+c\right]$
(C) $\left.\mid c_{1}+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[3 x^{4}-12 x^{2}+c\right]$
(D) $\left\lfloor c_{1}+c_{2} x+c_{3} \sin \sqrt{3} x+c_{4} \cos \sqrt{3} x\right\rfloor$ and $\left[5 x^{4}-12 x^{2}+c\right]$