Question

**Use Laplace Transform to solve the initial value
problem**

x''+2x'+2x=e^{-t} x(0)=x'(0)=0.

Answer #1

Solve this Initial Value Problem using the Laplace
transform.
x''(t) - 9 x(t) = cos(2t),
x(0) = 1,
x'(0) = 3

Use
Laplace transform to solve the given initial-value problem:
x"+16x=cos4t, x(0)=0, x'(0)=1

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 the Laplace transform to solve the given initial-value
problem. y'' + y = f(t), y(0) = 0, y'(0) = 1, where f(t) = 0, 0 ≤ t
< π 5, π ≤ t < 2π 0, t ≥ 2π

use the Laplace transform to solve the following initial value
problem y”+8y’+25y=&(t-8) y(0)=0 y’(0)=0 use step (t-c) for
uc(t)

Use the Laplace transform to solve the following initial value
problem:
y′′−4y′−32y=δ(t−6)y(0)=0,y′(0)=0

Use the Laplace transform to solve the following initial value
problem:
y′′ + 8y ′+ 16y = 0
y(0) = −3 , y′(0) = −3
First, using Y for the Laplace transform of y(t)y, i.e., Y=L{y(t)},
find the equation you get by taking the Laplace transform of the
differential equation
__________________________ = 0
Now solve for Y(s) = ______________________________ and write the
above answer in its partial fraction decomposition, Y(s) = A /
(s+a) + B / ((s+a)^2)
Y(s) =...

Use the Laplace Transform to solve the initial value
problem.
?′′+9?′+18?=3? ,?(0)=2,?′(0)=−1

Use the Laplace transform to solve the given initial value
problem.
y′′−8y′−105y=0; y(0)=8, y′(0)= 76
Enclose arguments of functions in parentheses. For example,
sin(2x).

use the laplace transform to solve the initial value problem:
y"+4y=4t, y(0)=1, y'(0)=0

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