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Get Full Access to C++ For Everyone - 2 Edition - Chapter 3 - Problem P3.33
Get Full Access to C++ For Everyone - 2 Edition - Chapter 3 - Problem P3.33

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# Crop damage due to frost is one of the many risks confronting farmers. The figurebelow ISBN: 9780470927137 356

## Solution for problem P3.33 Chapter 3

C++ for Everyone | 2nd Edition

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Problem P3.33

Crop damage due to frost is one of the many risks confronting farmers. The figurebelow shows a simple alarm circuit designed to warn of frost. The alarm circuit usesa device called a thermistor to sound a buzzer when the temperature drops belowfreezing. Thermistors are semiconductor devices that exhibit a temperature dependentresistance described by the equationR R eT T = 01 10where R is the resistance, in , at the temperature T, in K, and R0 is the resistance,in , at the temperature T0, inK. is a constant that depends on the material used tomake the thermistor. The circuit is designed so that the alarm will sound whenRR RRR R2243 4 +

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ENGR 232 Dynamic Engineering Systems Lecture 3 Dr. Michael Ryan Agenda • Quick Review – Integrating factor • First Order Differential Equations – Existence – Models • Second Order Differential Equations – Models – Homogeneous equations – Auxiliary equation and its roots – Unique solutions 2 Integrating Factor Method General Case Process a) Write the equation in standard form and identify terms b) Calculate the integrating factor c) Multiply both sides of the equation by the integrating factor. ▯▯ ▯ ▯ ▯▯ + ▯ ▯ ▯ = ▯ ▯ ▯(▯) d) Recognizing the left side as the derivative of product: ▯▯ ▯ ▯ ▯ ▯ ▯ ▯ + ▯ ▯ ▯ = =▯ ▯ ▯(▯) ▯▯ ▯▯ e) Integrate ▯ ▯ ▯= ▯ ▯ ▯ ▯ ▯ f) Then solve for y(t) and use ICs is present 4/13/2015 ENGR 232 Spring14 - 15 Week 3 3 Integrating Factor for 1 st Order Linear D.E. ▯▯ ▯▯+ ▯ ▯ ▯ = ▯(▯) ▯ 0 = ▯ ▯ Form of D.E. Integrating factor Solution ▯▯ ▯▯ ▯▯▯ ▯▯ ▯▯▯ + ▯▯ = ▯ ▯(▯) = ▯ y ▯ = ▯ ▯ ▯ ▯▯▯ + ▯▯ ▯▯ y ▯ = ▯ + ▯ ▯▯ ▯ e ▯▯▯

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