Question

Solve this Initial Value Problem using the Laplace transform.

x''(t) - 9 x(t) = cos(2t),

x(0) = 1,

x'(0) = 3

Answer #1

Initial Value Problem. Use Laplace transform.
m''(t) - 9*m(t) = cos(2t)
where m(0) = 1 and m'(0) = 3

Consider the following initial value problem:
x′′−3x′−40x=sin(2t),x(0)=4,x′(0)=3
Using X for the Laplace transform of x(t), i.e., X=L{x(t)},,
find the equation you get by taking the Laplace transform of the
differential equation and solve for
X(s)=

solve the initial value problem using Laplace
transform
x"(t)+3x'(t)+2x(t)=t
x(0)=0
x'(0)=2
differntial equations

9. Determine the solution
to the initial value problem using the Laplace transform and the
convolution integral.
y'’
+ y =
cos(2t); y(0)
= 1, y’(0) = 0.
Evaluate the convolution integral and simplify your solution

Consider the following initial value problem: y′′+49y={2t,0≤t≤7
14, t>7 y(0)=0,y′(0)=0 Using Y for the Laplace transform of
y(t), i.e., Y=L{y(t)}, find the equation you get by taking the
Laplace transform of the differential equation and solve for
Y(s)=

Solve the given initial-value problem. d2x dt2 + 4x = −5 sin(2t)
+ 9 cos(2t), x(0) = −1, x'(0) = 1

Use Laplace Transform to solve the initial value
problem
x''+2x'+2x=e-t x(0)=x'(0)=0.

Solve the following initial value problem using Laplace
transform
y"+2y'+y=4cos(2t) When y(0)=0 y'(0)=2
Thankyou

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

use Laplace transformations to solve initial value problem
x''+4x=cos(t), x(0)=0, x'(0)=0
set up the appropriate form of a particular solution, do not
determine coefficients,
y''+6y'+13y=e-3x cos2x
find the Laplace transformation of the following function
f(t)=4cos(2t) + 7t3 - 5e-3t

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