Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 2.12, Problem 8P

Verify each of the following by using equations (11.4), (12.2), and (12.3).

cosh 2 z = cosh 2 z + sinh 2 z

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Chapter 2.12, Problem 7P

Chapter 2.12, Problem 9P

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Explain the key points and reasons for 12.8.2 (1) and 12.8.2 (2)

Q1: A slider in a machine moves along a fixed straight rod. Its distance x cm along the rod is given below for various values of the time. Find the velocity and acceleration of the slider when t = 0.3 seconds. t(seconds) x(cm) 0 0.1 0.2 0.3 0.4 0.5 0.6 30.13 31.62 32.87 33.64 33.95 33.81 33.24 Q2: Using the Runge-Kutta method of fourth order, solve for y atr = 1.2, From dy_2xy +et = dx x²+xc* Take h=0.2. given x = 1, y = 0 Q3:Approximate the solution of the following equation using finite difference method. ly -(1-y= y = x), y(1) = 2 and y(3) = −1 On the interval (1≤x≤3).(taking h=0.5).

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Chapter 2 Solutions

Mathematical Methods in the Physical Sciences

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