Let y(t) be the solution of the initial-value problem For what values of V does y(t)

Chapter 2, Problem 9

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QUESTION:

Let y(t) be the solution of the initial-value problem For what values of V does y(t) remain nonnegative for all t > O?

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QUESTION:

Let y(t) be the solution of the initial-value problem For what values of V does y(t) remain nonnegative for all t > O?

ANSWER:

Step 1 of 2

Given equation is

With initial conditions

First let us solve the given IVP.

Given IVP is a second order homogeneous ordinary differential equation.

Corresponding auxiliary equation is

Thus, the general solution is

                                        (i)

Here A and B are arbitrary constants to be determined.

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