In the previous three problems, the solution for $R$ is
A) $R = r ^ { n }$
B) $R = r ^ { - n - 1 }$
C) $R = c _ { 1 } r ^ { n } + c _ { 2 } r ^ { - n - 1 }$
D) $R = c _ { 1 } r ^ { n } + c _ { 2 } r ^ { n + 1 }$
E) $R = c _ { 1 } r ^ { n } + c _ { 2 } r ^ { n - 1 }$

Question

Quizplus · Accepted Answer

Option C is correct because it represents a general solution to a second-order linear differential equation, which often involves two parts: a homogeneous solution ($c_1 r^n$) and a particular solution ($c_2 r^{-n-1}$). This form accounts for both the characteristic roots of the equation and any external forces or inputs that might affect the system's behavior.

In the Previous Three Problems, the Solution For RRR Is A) R=rnR = r ^ { n }R=rn

In the Previous Three Problems, the Solution For $R$ Is
A) $R = r ^ { n }$