Equations with the Dependent Variable Missing. For a second order differential equation

Chapter 2, Problem 40

(choose chapter or problem)

Equations with the Dependent Variable Missing. For a second order differential equation of the form y = f(t, y ), the substitution v = y , v = y leads to a first order 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 36 through 41, use this substitution to solve the given equation. y + y = et

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