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

###### Question details

Differential Equations Problem

Suppose that the IVP y' = F(x)/G(x), y(x_{0}) =
y_{0} has a unique solution that exists in an interval I =
-c < y < c where

G(y)≠ 0 and y_{0} belongs to the interval I. If G(y) =
5·y^{2} − 10, and y_{0} = 0, determine the largest
interval I in which the solution exists. Express c > 0 in
decimal form with digits
D_{1}D_{2}D_{3}D_{4}D_{5 .}
The digit D_{5} is to be obtained by rounding.

Enter the value of c.

c = ?

.