Question
In: Math
Use the Laplace Transform method to solve the following differential equation problem: y 00(t) − y(t)...
Use the Laplace Transform method to solve the following differential equation problem: y 00(t) − y(t) = t + sin(t), y(0) = 0, y0 (0) = 1
Please show partial fraction steps to calculate coeffiecients
Solutions
milcah answered 2 years agoRelated Solutions
Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) =...
Solve the differential equation using the Laplace
transform. y''' + 3y''+2y' = 100e-t , y(0) =
0, y'(0) = 0, y''(0) = 0
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t −...
Use the Laplace transform to solve the given initial-value
problem. y'' + y = δ(t − 6π) + δ(t − 8π), y(0) = 1, y'(0) = 0
Solve the differential equation by Laplace transform y^(,,) (t)-2y^' (t)-3y(t)=sint where y^' (0)=0 ,y=(0)=0
Solve the differential equation by Laplace transform
y^(,,) (t)-2y^' (t)-3y(t)=sint where y^' (0)=0
,y=(0)=0
Use the Laplace transform to solve the following initial value problem, y′′ − y′ − 30y ...
Use the Laplace transform to solve the following initial value
problem,
y′′ − y′ − 30y = δ(t − 7),y(0) = 0, y′(0) = 0.
The solution is of the form ?[g(t)] h(t).
(a) Enter the function g(t) into the answer box below.
(b) Enter the function h(t) into the answer box below.
1. Use a Laplace transform to solve the initial value problem: 9y" + y = f(t),...
1. Use a Laplace transform to solve the initial value problem:
9y" + y = f(t), y(0) = 1, y'(0) = 2
2. Use a Laplace transform to solve the initial value problem:
y" + 4y = sin 4t, y(0) = 1, y'(0) = 2
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....
Solve for Y(s), the Laplace transform of the solution y(t) to
the initial value problem below. y'''+7y''+4y'-12y= -24, y(0) = 11,
y'(0)= 5, y''(0) = -43
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....
Solve for Y(s), the Laplace transform of the solution y(t) to
the initial value problem below.
y"-6y'+9y=cos 2t- sin 2t , y(0)=6, y'(0)=3
Use Laplace transform method to solve the following initial value problems (a) d2y/dt2 + y =...
Use Laplace transform method to solve the following initial
value problems
(a) d2y/dt2 + y = e^ −t ; y(0) = 0, y′ (0) = 0.
(b) d2y/dt2+ y = t subject to the initial
conditions y(0) = 0, y′ (0) = 2
(c) dy/dt + 2y = 4e 3t subject to the initial
condition y(0) = 1.
Use the Laplace transform to solve the following initial value problem: y′′−3y′−28y=δ(t−7) y(0)=0, y′(0)=0 y(t)=
Use the Laplace transform to solve the following initial value
problem: y′′−3y′−28y=δ(t−7) y(0)=0, y′(0)=0
y(t)=
8) Use the Laplace transform to solve the given initial-value problem. y' − y = 2...
8)
Use the Laplace transform to solve the given initial-value
problem.
y' − y = 2 cos(4t), y(0) = 0
y(t)=???
9)
Use the Laplace transform to solve the given initial-value
problem.
y'' − 5y' = 8e4t −
4e−t, y(0) = 1, y'(0) = −1
y(t)=?
10)
Use the Laplace transform to solve the given initial-value
problem.
y''' + 2y'' − y' − 2y = sin(4t), y(0) =
0, y'(0) = 0, y''(0) = 1
y(t)=?
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