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Use the Uniqueness Theorem for the Initial Value Problem

4. For the initial value problem dy/dx = 3y^(2/3), y(2) = 0,

(a) does existence uniqueness Theorem 1 imply the existence of a unique solution? Explain.

(b) Which of the following functions are solutions to the above differential equation? Explain.

(b_1) y(x) = 0
(b_2) y(x) = (x - 2)^3
(b_3) y(x) = (x - alpha)^3, x < alpha
0, alpha <= x <= Beta
(x - Beta)^3, x > Beta

where alpha < 2 < Beta.


Solution Summary

This solution shows how to use the uniqueness theorem to find the solution to an initial value problem in an attached Word document.