Question

Use Laplace transforms to solve the following initial value problem.\ y'' - 3y' - 18y = 0, y(0) = 1, y'(0) = 51\ y(t) = \\ (Type an exact answer.)

          Use Laplace transforms to solve the following initial value problem.\
y'' - 3y' - 18y = 0, y(0) = 1, y'(0) = 51\
y(t) = \\
(Type an exact answer.)

Added by Billy T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sam Stansfield

07/13/2023

Step 1

The Laplace transform of the differential equation becomes: s^2Y(s) - sy(0) - y'(0) - 3(sY(s) - y(0)) - 18Y(s) = 0 Show more…

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Use Laplace transforms to solve the following initial value problem.y′′−3y′−18y=0,y(0)=1,y′(0)=51 Use Laplace transforms to solve the following initial value problem y" - 3y' - 18y = 0, y(0) = 1, y'(0) = 51 y(t) = (Type an exact answer.)