Get answer: Equations with the Dependent Variable Missing. For a secondorder
Chapter 2, Problem 30(choose chapter or problem)
Equations with the Dependent Variable Missing. For a secondorder differential equation of the form y = f (t, y), the substitution v = y, v = y leads to a first-order differential equation of the form v = f (t, v). If this equation can be solved for v, then y can be obtained by integrating dy/dt = v. Note that one arbitrary constant is obtained in solving the first-order equation for v, and a second is introduced in the integration for y. In each of 28 through 31, use this substitution to solve the given equation. y__ + t ( y_)2 = 0
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