Education > SOLUTIONS MANUAL > Applied Numerical Methods with Python for Engineers and Scientists Steven C. Chapra SOLUTIONS MANUAL (All)

Applied Numerical Methods with Python for Engineers and Scientists Steven C. Chapra SOLUTIONS MANUAL

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hapter 1 Problem Solutions Page 1 Copyright 2022 © McGraw Hill LLC. All rights reserved. No reproduction or distribution without the prior written consent of McGraw Hill LLC. Chapter 1 1.1 Use c ... alculus to verify that Eq. (1.9) is a solution of Eq. (1.8) for the initial condition v(0) = 0. ========================================== You are given the following differential equation with the initial condition, v(0) = 0, dv cd 2 g v dt m = − Multiply both sides by m/cd 2 d d m dv m g v c dt c = − Define / d a mg c = 2 2 d m dv a v c dt = − Integrate by separation of variables, 2 2 d dv c dt a v m = −   A table of integrals can be consulted to find that 1 2 2 1 tanh dx x a x a a − = −  Therefore, the integration yiel [Show More]

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