Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1, y'(0) = 0. Solve without the Laplace Transform, first, and then with the Laplace Transform.

Solve using Laplace and Inverse Laplace Transforms. Y’’’-y’’-4y’+4y=0 y(0)=1 y’(0)=9 y’’(0)=1

la place transform of 1. y´´+4y´+3y=0. y(0)=3, y´(0)=1 2. y´´+2y´+y=0. y(0)=1, y´(0)=1

y''' −2y' −4y = 0, y(0) = 6, y'(0) = 3, y''(0) = 22 solve the...

y''' −2y' −4y = 0, y(0) = 6, y'(0) = 3, y''(0) = 22 solve the initial value problem You would convert it to m^3-2m-4=0. You find the root (m=2) and use synthetic division to find the other roots. m^2+2m+2 is what you get. I am stuck on what to do next? y = 2e^(−x)*cosx−3e^(−x)*sinx + 4e^(2x) is the answer.

Question

y''-5y'+4y=et y(0)=3 y'(0)=1/3

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y''' −2y' −4y = 0, y(0) = 6, y'(0) = 3, y''(0) = 22 solve the...