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    Ordinary Differential Equations and Initial-Value Problems : Unique Solution

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    Find the unique solution satisfying initial conditions y(1)=0 and y'(1)=1 for
    ty''-(t+2)y'=2y=0, t not equal to 0

    Solve t^2y''+3ty'+5y=0

    Solve the initial value problem.
    y''-2y'+y=2e^t+3
    y(0)=4 and y'(0)=3

    © BrainMass Inc. brainmass.com March 4, 2021, 6:20 pm ad1c9bdddf
    https://brainmass.com/math/ordinary-differential-equations/ordinary-differential-equations-initial-value-problems-40761

    Solution Preview

    ty''-(t+2)y'+2y=0
    =>t(y''-y')=2(y'-y)
    Let x=y'-y
    =>tx'=2x
    =>x=y'-y=a t^2 ...

    Solution Summary

    The expert examines ordinary differential equations and initial-value problems. The initial conditions for satisfying solutions are provided.

    $2.49

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