Question

Use the method of laplace transforms to solve the following Initial Value Problem:

y"+2y'+y=g(t), y'(0)=0

Answer #1

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Use Laplace transforms to solve the given initial value
problem.
y"-2y'+5y=1+t y(0)=0 y’(0)=4

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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7

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x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=289
the particular solution is x(t)=? and y(t)= ?

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Laplace transforms. y''-y'-30y=0, y(0) = 4 , y'(0) = 46
y(t) = ?

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1
differential eq

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y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2

2.
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y(t). Show all steps. Circle your answer.
y''+ 6y' + 9y = 90t^(4)e^(−3t)
y(0)= -2 , y'(0)= 6

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