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    Differential equation

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    1. Solve the following differential equation:

    -2yy' +3x^2 SQRT(4-y^2) =5x^2 SQRT(4-y^2) , -2 < y < +2

    2. Let f(x) = ax^2 , a>0 , and g(x) = x^3

    Find the value of a which yields an area of PI (i.e. 3.14159) for region bounded by figure, y-axis and line x=1.

    © BrainMass Inc. brainmass.com June 4, 2020, 12:14 am ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/differential-equation-area-bounded-region-326572

    Solution Preview

    1. Solve the following differential equation:

    We have ,
    . This can be solved by using variables separable method.
    Integrating, we get is the ...

    Solution Summary

    Differential equation is reiterated. The area of bounded regions are determined.

    $2.19

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