Question

Can someone help by explaining the correct choice?

ansform the given differential equation to find a nontrivial solution such that x(0) = 0. tx'' + (t - 4)x' + x = 0 Click the icon to view the table of Laplace transforms. nd the nontrivial solution. Choose the correct choice below. A. (s – 1)X'(s) + 6X(s) = 0; x(t) = Ct5 e -t, CEO B. (s + 1)X'(s) + 6X(s) = 0; x(t) = C15 e -5t, C#0 C. (s + 1)X'(s) + 6X(s) = 0; x(t) = C15 e -t, c#0 D. (s + 1)X'(s) + 6X(s) = 0, y(t) = Ct6 e -t, CEO

Answer 1

ANSWER: 1) sty xk+6*4)=0 ; xft)=cket,cto DETAILS Given differential equation is tall +64-47*' ta so tall ttal-43tazo 5 [t2"] + 4tx') – 4.4[2!3+L(x320 Taking oblace transform 2-[] - 4x0] -4 4[%]+x)=- |:4[tfetus 11 and L[0]=X(6) & [32x68) -52(e)_x.co] com os XCD) – 2.0) -4[ sx68)-219] +xs) 1: Lbely =sx) 210) L[an=s?X(S)-3210)19)

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