Discussion
During process of solving an ODE using Laplace transform, ODE is transformed into algebraic equation in
Answer: A
In the Laplace-transform method, the very first step is to apply the transform to the whole differential equation, turning derivatives in \( t \) into powers of \( s \):
\[ \mathcal{L}\{y'\} = sY - y(0), \qquad \mathcal{L}\{y''\} = s^{2}Y - sy(0) - y'(0) \]
The result is an algebraic (subsidiary) equation in \( Y(s) \). Solving it is step 2 and inverting is step 3.
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