Question

Use Laplace transforms to solve the initial value problem xPower4+ x = 0, x(0) = x'(0) = x'' (0) = 0 ,x'''(0)=1

Answer #1

Use Laplace transforms to solve the following initial value
problem.
x'' + x = 2cos(4t), x(0) = 1, x'(0) = 0
The solution is x(t) = ____________

Use Laplace transforms to solve the initial value problem
?″+6?′+11?=5?−?,?(0)=0,?′(0)=4. x ″ + 6 x ′ + 11 x = 5 e − t , x (
0 ) = 0 , x ′ ( 0 ) = 4.

2.
Use the method of Laplace transforms to solve the initial value
problem for x(t): x′′+4x=16, x(0)=0,x′(0)=6

Use the Laplace transform to solve the given initial-value
problem. Use the table of Laplace transforms in Appendix III as
needed.
y'' + 25y = cos 5t, y(0) =
3, y'(0) = 4

Use Laplace transforms to solve the following initial value
problem
x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=289
the particular solution is x(t)=? and y(t)= ?

Use the method of Laplace transforms to solve the following
initial value problem. y'' + 6y' + 5y = 12e^t ; y(0) = −1, y'(0) =
7

Use Laplace transforms to solve the given initial value
problem.
y"-2y'+5y=1+t y(0)=0 y’(0)=4

Use the method of laplace transforms to solve the following
Initial Value Problem:
y"+2y'+y=g(t), y'(0)=0

Solve the initial value problem using Laplace transforms y "+
2ty'-4y = 1; y (0) = y '(0) = 0.

Use Laplace Transforms to solve the given initial value problem
y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2

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