Explore BrainMass

Explore BrainMass

    Differential equation

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

    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 March 4, 2021, 10:23 pm ad1c9bdddf

    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.