Given, x = c, cost+c, sint is a two-parameter family of solutions of the second-order DE x'"'+x = 0. Find a particular solution of the second-order IVP consisting of this DE and the given initial conditions: (a) x(0) = -1, x'(0) = 8 (b) x(7/2) = 0, x'(x/2)=1 (c) x(7/6) =, x'(T / 6) = 0 2 (d) x(7/4) = V2, x'(7 /4) = 2/2 %3D

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Chapter1: Functions And Models
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Given, x = c, cost+c, sint is a two-parameter family of solutions of the second-order DE
x'"'+x = 0. Find a particular solution of the second-order IVP consisting of this DE and the
given initial conditions:
(a) x(0) = -1,
x'(0) = 8
(b) x(7/2) = 0, x'(x/2)=1
(c) x(7/6) =,
x'(T / 6) = 0
2
(d) x(7/4) = V2, x'(7 /4) = 2/2
%3D
Transcribed Image Text:Given, x = c, cost+c, sint is a two-parameter family of solutions of the second-order DE x'"'+x = 0. Find a particular solution of the second-order IVP consisting of this DE and the given initial conditions: (a) x(0) = -1, x'(0) = 8 (b) x(7/2) = 0, x'(x/2)=1 (c) x(7/6) =, x'(T / 6) = 0 2 (d) x(7/4) = V2, x'(7 /4) = 2/2 %3D
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