Question

In: Math

Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y''...

Use the Laplace transform to solve the given initial value problem.

y(4) − 4y''' + 6y'' − 4y' + y = 0;

y(0) = 1,

y'(0) = 0,

y''(0) = 0,

y'''(0) = 1

Solutions

Expert Solution


Related Solutions

Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y''...
Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y'' − 4y' + y = 0; y(0) = 1, y'(0) = 0, y''(0) = 0, y'''(0) = 1
Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y =...
Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y = δ(t − π) + δ(t − 3π), y(0) = 1, y'(0) = 0 y(t) =( ? )+ ( ? )· U (t − π) + ( ? )· U (t − ? )
se the Laplace transform to solve the given initial-value problem. y'' − 6y' = 10e^5t −...
se the Laplace transform to solve the given initial-value problem. y'' − 6y' = 10e^5t − 5e^−t, y(0) = 1, y'(0) = −1
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
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)=?
Use the Laplace transform to solve the given initial-value problem. y'' − 7y' = 12e6t −...
Use the Laplace transform to solve the given initial-value problem. y'' − 7y' = 12e6t − 6e−t,    y(0) = 1, y'(0) = −1
Use the Laplace transform to solve the given initial-value problem. y'' - 2y'' - 8y =...
Use the Laplace transform to solve the given initial-value problem. y'' - 2y'' - 8y = 2sin2t; y(0) = 2, y'(0) = 4
Use the Laplace transform to solve the given initial value problem. y'' + 2y' + 10y...
Use the Laplace transform to solve the given initial value problem. y'' + 2y' + 10y = 6cos2t - 4sin2t, y(0)=2, y'(0)= -2
use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1
use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1
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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT