Question

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)= ?

Answer #1

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

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

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

1. Solve the following initial value problem using Laplace
transforms.
d^2y/dt^2+ y = g(t) with y(0)=0 and dy/dt(0) = 1 where g(t) = t/2
for 0<t<6 and g(t) = 3 for t>6

Use Laplace transform to solve the following initial value
problem: y '' − 2y '+ 2y = e −t , y(0) = 0 and y ' (0) =
1
differential eq

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

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

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.

Solve the initial value problem below using the method of
Laplace transforms. y''-y'-30y=0, y(0) = 4 , y'(0) = 46
y(t) = ?

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