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In: Advanced Math

8. Find the solutions of the following initial value problems • x ''' + 6x ''...

8. Find the solutions of the following initial value problems

• x ''' + 6x '' + 12x ' + 8x = 0, x(1) = −2, x' (1) = x '' (1) = 0

• x ^(5) + 4x^ (4) + 5x^ (3) = 0, x(0) = x ' (0) = x '' (0) = 1, x^(3) (0) = x^ (4) (0) =0

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