Question

Solve the following initial value problem using Laplace
transform

y"+2y'+y=4cos(2t) When y(0)=0 y'(0)=2

Thankyou

Answer #1

Use Laplace transform to solve the following initial value
problem: y '' − 2y '+ 2y = e −t , y(0) = 0 and y ' (0) =
1
differential eq

Solve the initial value problem using
Laplace transform theory.
y”-2y’+10y=24t,
y(0)=0,
y'(0)= -1

Solve listed initial value problems by using the Laplace
Transform:
4. yll
− yl − 2y =
2
e−2t y(0)
= 1, yl(0) = −3

Use
the Laplace transform to solve:
y’’ + 2y’ + y = e^(2t); y(0) = 0, y’(0) = 0.

Use
Laplace transform to solve IVP
2y”+2y’+y=2t , y(0)=1 , y’(0)=-1

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)=

Differential Equations: Use the Laplace transform to solve the
given initial value problem:
y′′ −2y′ +2y=cost;
y(0)=1,
y′(0)=0

Use the Laplace transform to solve the given initial value
problem.
y′′−2y′−143y=0; y(0)=8, y′(0)= 32
Enclose arguments of functions in parentheses. For example,
sin(2x).

Solve this Initial Value Problem using the Laplace
transform.
x''(t) - 9 x(t) = cos(2t),
x(0) = 1,
x'(0) = 3

Take the Laplace transform of the following initial value
problem and solve for Y(s)=L{y(t)}: y′′−2y′−35y=S(t)y(0)=0,y′(0)=0
where S is a periodic function defined by S(t)={1,0≤t<1 0,
1≤t<2, and S(t+2)=S(t) for all t≥0. Hint: : Use the formula for
the Laplace transform of a periodic function.
Y(s)=

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