Question

Use Laplace transforms to solve the following initial value problem.\ x" + x = 2 cos 4t, x(0) = 1, x'(0) = 0\ x(t) = \text{(Type an exact answer.)

Name: Use Laplace transforms to solve the following initial value problem.x" + x = 2 cos 4t, x(0) = 1, x'(0) = 0x(t) = (Type an exact answer.)
Uploaded: 2023-07-22T13:04:56-08:00
Duration: 3 min 27 s
Channel: Adi S
Description: Use Laplace transforms to solve the following initial value problem.x" + x = 2 cos 4t, x(0) = 1, x'(0) = 0x(t) = (Type an exact answer.)

          Use Laplace transforms to solve the following initial value problem.\
x" + x = 2 cos 4t, x(0) = 1, x'(0) = 0\
x(t) = \text{(Type an exact answer.)

Added by Michael W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/22/2023

Step 1

Applying the Laplace transform to the equation, we get: L{x''(t)} + L{x(t)} = L{2cos(4t)} Using the Laplace transform properties, we have: s^2X(s) - sx(0) - x'(0) + X(s) = 2s / (s^2 + 16) Show more…

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Use Laplace transforms to solve the following initial value problem. x^('')+x=2cos4t,x(0)=1,x^(')(0)=0 x(t)=, (Type an exact answer.) NEED ANSWER ASAP!!! Use Laplace transforms to solve the following initial value problem x+-2cos4tx010-0 x(t) (Type an exact answer)