If , Fext(t) = 0, equation (3) becomes my’’ + by’ + ky =

Chapter 4, Problem 2E

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QUESTION:

PROBLEM 2E

If , Fext(t) = 0, equation (3) becomes my’’ + by’ + ky = 0. For this equation, verify the following:

(a) If y(t) is a solution, so is cy(t), for any constant c.

(b) If y1(t) and y2(t) are solutions, so is their sum y1(t) + y2(t)

Questions & Answers

QUESTION:

PROBLEM 2E

If , Fext(t) = 0, equation (3) becomes my’’ + by’ + ky = 0. For this equation, verify the following:

(a) If y(t) is a solution, so is cy(t), for any constant c.

(b) If y1(t) and y2(t) are solutions, so is their sum y1(t) + y2(t)

ANSWER:

Solution

Step 1 of 5

In this problem we have to verify the  conditions given for the mass spring oscillator differential equation.

Given differential equation

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