The initial value problemy" + 4y" + y' - 6y = -12, y(0) = 1, y'(0) = 4, y"(0) = -2is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(S) find the solution of the given initial value problem.s3 + 8s? + 15s + 12O A. Y(S) =, y(t) = et - e - 3e-2t + 2%3Ds4 + 4s3 + s2 - 6ss3 + 8s? + 15s - 12 vn -+ 4s3 + s? - 6sO B. Y(S) =y(t) = et - e-3 - 3e-2t + 253 + 8s2 - 15s - 12O C. Y(S) =y(t) = et + e-3 - 3e* + 2s4+ 4s3 + s? - 6ss3 + 8s2 + 15s - 123 +s? - 6sD. Y(S) =y(t) = et + e - 3e- + 2s4+4s + s

Properties of Laplace transform L-11s-a=eat L1=1s Ly'''=s3Y(s)-s2y(0)-sy'(0)-y''(0)…

The initial value problem y" + 4y" + y' - 6y = -12, y(0) = 1, y'(0) = 4, y"(0) = -2 is given. If the Laplace transform of y(t) is Y(S), first find Y(S). Then using Y(s) find the solution of the given initial value problem. s3 + 8s? + 15s + 12 A. Y(S) =- s4 + 4s3 + s? - 6s · y(t) = e* - e-* - 3e2t + 2 s3 + 8s? + 15s - 12 s4+ 4s3 + s2 - 6s O B. Y(S) = - y(t) = e* - e-* - 3e + 2 s3 + 8s2 - 15s - 12 s4+ 4s3 + s2 - 6s O C. Y(S) =- y(t) = et + et. 3e-2 +2 53 + 8s2 + 15s - 12 D. Y(s) = · y(t) = et + e-* - 3e-t + 2 s + 4s3 + s2 - 6s

The initial value problem y" + 4y" + y' - 6y = -12, y(0) = 1, y'(0) = 4, y"(0) = -2 is given. If the Laplace transform of y(t) is Y(S), first find Y(S). Then using Y(s) find the solution of the given initial value problem. s3 + 8s? + 15s + 12 A. Y(S) =- s4 + 4s3 + s? - 6s · y(t) = e* - e-* - 3e2t + 2 s3 + 8s? + 15s - 12 s4+ 4s3 + s2 - 6s O B. Y(S) = - y(t) = e* - e-* - 3e + 2 s3 + 8s2 - 15s - 12 s4+ 4s3 + s2 - 6s O C. Y(S) =- y(t) = et + et. 3e-2 +2 53 + 8s2 + 15s - 12 D. Y(s) = · y(t) = et + e-* - 3e-t + 2 s + 4s3 + s2 - 6s

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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