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Question: differential equations problem suppose that the ivp y fxgx...

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Differential Equations Problem

Suppose that the IVP y' = F(x)/G(x), y(x0) = y0 has a unique solution that exists in an interval I = -c < y < c where

G(y)≠ 0 and y0 belongs to the interval I. If G(y) = 5·y2 − 10, and y0 = 0, determine the largest interval I in which the solution exists. Express c > 0 in decimal form with digits D1D2D3D4D5 . The digit D5 is to be obtained by rounding.

Enter the value of c.

c = ?

.

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