Question

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

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 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

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 the Laplace transform to solve the given initial-value
problem.
y'' + 6y' +
34y = δ(t −
π) + δ(t −
7π), y(0) =
1, y'(0) = 0

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

use Laplace transforms to solve the integral for y(t)
y"-6y'+5y=(14-8t)e^t
y(0)=3
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 given initial-value
problem.
y'' − 6y' + 13y = 0, y(0) = 0, y'(0) =
−5
#14 7.3
y(t) ?
please show work and circle the answer

Use the laplace transform to solve for the initial
value problem:
y''+6y'+25y=delta(t-7)
y(0)=0 y'(0)=0

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