Question
In: Advanced Math
1. Solve the third-order initial value problem below using the method of Laplace transforms. 60y′′′+8y′′+11y′−20y=−60, y(0)=11,...
1. Solve the third-order initial value problem below using the method of Laplace transforms.
60y′′′+8y′′+11y′−20y=−60, y(0)=11, y′(0)=−10, y"(0)= 50
2. Use the method of Laplace transforms to find a general solution to the differential equation below by assuming that a and b are arbitrary constants.
5y′′+6y′+25y=5, y(0)=a, y'(0)=b
Solutions
here a & b are arbitary
Constants.
Colby Messinger answered 2 years agoRelated Solutions
Solve the initial value problem below using the method of Laplace transforms. y'' - 4y' +...
Solve the initial value problem below using the method of
Laplace transforms.
y'' - 4y' + 8y = 5e^t
y(0) = 1
y'(0) = 3
solve the given initial value problem using the method of Laplace transforms. Y'' + Y =...
solve the given initial value problem using the method of
Laplace transforms.
Y'' + Y = U(t-4pi) y(0) =1 y'(0) = 0
Solve the initial value problem below using the method of Laplace transforms. y"-4y'+13y=10e^3t y(0)=1, y'(0)=6
Solve the initial value problem below using the method of
Laplace transforms.
y"-4y'+13y=10e^3t y(0)=1, y'(0)=6
Solve the initial value problem below using the method of Laplace transforms. ty''-4ty'+4y=20, y(0)=5 y'(0)=-6
Solve the initial value problem below using the method of
Laplace transforms.
ty''-4ty'+4y=20, y(0)=5 y'(0)=-6
Use Laplace transforms to solve the initial value problem: y''' −y' + t = 0, y(0)...
Use Laplace transforms to solve the initial value problem:
y''' −y' + t = 0,
y(0) = 0,
y'(0) = 0,
y''(0) = 0.
Use laplace transforms to solve the following problem. y' + 20y = 6sin 2x; y(0) =...
Use laplace transforms to solve the following problem.
y' + 20y = 6sin 2x; y(0) = 6
Solve the following initial value problem using Laplace transforms: y000 + y0 = et, y(0) =...
Solve the following initial value problem using Laplace
transforms:
y000 + y0 = et, y(0) = y0(0) = y00(0) = 0.
Solve the initial value problem below using the method of Laplace transforms. y''+7y'+12y=-7cost-9sint y(pi/2)=1 y'(pi/2)=0
Solve the initial value problem below using the method of
Laplace transforms.
y''+7y'+12y=-7cost-9sint
y(pi/2)=1 y'(pi/2)=0
. Solve the Initial value problem by using Laplace transforms: ? ′′ + 3? ′ +...
. Solve the Initial value problem by using Laplace transforms: ?
′′ + 3? ′ + 2? = 6? −? , ?(0) = 2 ? ′ (0) = 8
Use Laplace transforms to solve the initial value problem: x' = 2x + y, y' =...
Use Laplace transforms to solve the initial value problem:
x' = 2x + y, y' = 6x + 3y; x(0) = 1, y(0) = -2
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