Discussion
In Laplace transform, subsidiary equation can only be solved by
Answer: C
The whole point of the transform is that the subsidiary equation is algebraic: derivatives in \( t \) have become powers of \( s \).
\[ (s^{2} + as + b)Y(s) = G(s) \quad\Longrightarrow\quad Y(s) = \frac{G(s)}{s^{2}+as+b} \]
Solving it needs only algebraic manipulation - no integration or differentiation at all. The calculus returns only in the inverse transform.
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