Question

Solve the initial value problem below using the method of Laplace transforms. y"+11y'+30y=280e^2t, y(0)=1, y'(0)=32

Answer #1

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

Solve the initial value problem below using the method of
Laplace transforms.
ty'' - 4ty' + 4y = 8, y(0) = 2, y'(0) = -5

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

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

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 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

Solve the initial value problem using Laplace transforms.
Explain and show all steps.
y'' + 9y = 3δ(t - π)
where y(0) = 3 and y'(0) = 0

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.

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

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