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    Power series expansion

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    a) Give the first few terms in the power series expansion (up to the fourth power) of the solution of the initial value problem:

    y' = e^x + x cos y , y(0) =0.

    b) Determine first terms in the power series expansion y =[summation ]a(k)x^k for the solution to the initial value problem :
    y' = x^3 + y^3 , y(0) = 1.

    Determine the power series expansion of the solution u = [summation] b(k) x^k of
    u' = u^3 , u(0) = 1 and show that a(k) >= b(k).

    © BrainMass Inc. brainmass.com December 24, 2021, 10:17 pm ad1c9bdddf
    https://brainmass.com/math/ordinary-differential-equations/power-series-expansion-459432

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 10:17 pm ad1c9bdddf>
    https://brainmass.com/math/ordinary-differential-equations/power-series-expansion-459432

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