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

Expert Solution

Colby Messinger answered 2 years ago

find real solutions : x^3+6x^2-6=0

Find two linearly independent solutions near the regular singular point x₀= 0 x²y'' + (6x +...

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Homework 1.1. (a) Find the solution of the initial value problem x' = x^(3/8) , x(0)=1 , for all t, where x = x(t). (b) Find the numerical solution on the interval 0 ≤ t ≤ 1 in steps of h = 0.05 and compare its graph with that of the exact solution. You can do this in Excel and turn in a printout of the spreadsheet and graphs.

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For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

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1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x...

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x (b) f(x) = − cos(x) − 1 2 x, [0, 2π] 2. Use the first derivative test to determine any relative extrema for the given function f(x) = 2x 3 − 24x + 7

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