Verify that the Function (12.23) satisfies the differential Equation (12.22). Equation 12.22 a. Solve Equation (12.29) for

Question:

Verify that the Function (12.23) satisfies the differential Equation (12.22).

Equation 12.22

dy d1 - aby = 0

a. Solve Equation (12.29) for y and substitute the results into the differential equation dx/dt = –gxy from Model (12.27).

Equation 12.29

b. Separate the variables in the differential equation resulting from part (a) and integrate using partial fractions to obtain the force level given by Equation (12.31).

Equation 12.31

x (t) = [xo [hxo Xo hxo-gyo hxo-gyoe-(hxo-g3g)r Xo 1+hxot for hxo # gyo for hxo = gyo

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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Question Posted: Jan 12, 2024 05:01 AM

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Verify that the Function (12.23) satisfies the differential Equation (12.22). Equation 12.22 a. Solve Equation (12.29) for

Question:

dy d1 - aby = 0

Step by Step Answer:

To confirm that the differential equation is satisfied by the function y provided by Equation 1223 d...View the full answer

A First Course In Mathematical Modeling

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