Question

use Laplace transforms to solve the integral for y(t)

y"-6y'+5y=(14-8t)e^t

y(0)=3

y'(0)=-4

Answer #1

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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 Laplace Transforms to solve the following IVPs .
4y′′+4y′+5y=−t ; y(0)=0 , y′(0)=0

Solve the following exercise using the Laplace method:
A) y''-5y'+6y=e^(4t), y(0)=1, y'(0)=-3

Solve the initial-value problem y''+5y'+6y=0, y(0)=1,
y′(0)=−1,
using Laplace transforms. When writing your answer limit
yourself to showing:
(i) The equation for L(y);
(ii) The partial fraction decomposition;
(iii) The antitransforms that finish the problem.

Use Laplace Transforms to solve the initial value problem for
y(t). Show all steps. Circle your answer.
y''+ 6y' + 9y = 90t^(4)e^(−3t)
y(0)= -2 , y'(0)= 6

y'' + 4y' +4y = e^(-2t) y(0)=0 y'(0)=4
Use Laplace Transforms to solve. Sketch the solution or use
matlab to show the graph.

Use Laplace transforms to solve 3y ′′ − 48y = δ(t − 2), y(0) =
1, y ′ (0) = −4.

Use the Laplace Transform to solve the following initial value
problem:
11. y′′ −y′ −6y={0 for0<t<2; e^t for t>2}, y(0)=3,
y′(0)=4

use
the laplace transform to solve the following equation
y”-6y’+9y = (t^2)(e^(3t))
y(0)=2
y’(0)=17

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