Use the rules L{x'(t)} L{x"(t)} sX(s) – x(0) || $? X(:) — sz(0) - а" (0) // S to find the Laplace transform X(s) of the solution of the following differential equations having initial conditions x(0)...

Differential Equations

a) a) x''-2x'-3x=0

Extracted text: Use the rules L{x'(t)} L{x"(t)} sX(s) – x(0) || $? X(:) — sz(0) - а" (0) // S to find the Laplace transform X(s) of the solution of the following differential equations having initial conditions x(0) = 2 and x' (0) = –1. Match each of the following to the value of X(1.234) to two decimal places.