Suppose that the initial condition in Example 1 had beeny(0) = 0. Show that none of the
Chapter 8, Problem 25(choose chapter or problem)
Suppose that the initial condition in Example 1 had been \(y(0)=0\). Show that none of the solutions generated in Example 1 satisfy this initial condition, and then solve the initial-value problem
\(\frac{d y}{d x}=-4 x y^{2}, \quad y(0)=0\)
Why does the method of Example 1 fail to produce this particular solution?
Equation Transcription:
Text Transcription:
y(0) = 0
frac{dy}{dx} = -4xy^2, y(0) = 0
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