Solve the nonlinear differential equation (2-61) for q; =

Chapter 2, Problem 2.9

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QUESTION:

Solve the nonlinear differential equation (2-61) for \(q_{i}=0\), either analytically or numerically, to obtain h(t). Assume A = 2, \(C_{v}{ }^{*}=0.5\), \(\rho=60\), g/gc = 1, and h(0) = 10, and that units of these parameters are consistent.

Equation Transcription:

Text Transcription:

 

q_i = 0

C_v ^* = 0.5

rho = 60

Questions & Answers

QUESTION:

Solve the nonlinear differential equation (2-61) for \(q_{i}=0\), either analytically or numerically, to obtain h(t). Assume A = 2, \(C_{v}{ }^{*}=0.5\), \(\rho=60\), g/gc = 1, and h(0) = 10, and that units of these parameters are consistent.

Equation Transcription:

Text Transcription:

 

q_i = 0

C_v ^* = 0.5

rho = 60

ANSWER:

Problem 2.9

Solve the nonlinear differential equation (2-61) for q; = 0, either analytically or numerically, to obtain h(t). Assume A = 2, Cv * = 0.5, p = 60, g/gc = 1, and h(O) = 10, and that units of these parameters are consistent.

                                                           Step by Step Solution

Step 1 of 4

Consider the dynamic model equation:

Substitute the values in equation (2)

Substitute the values in equation (1)

                       …… (3)

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