Obtain the differential equations associated with the following general sets of curves. If there are n constants you will need an nth order differential equation. You will first need to find the general equation of the set of curves. Some of these need quite a lot of manipulation. (a) The set of circles centred at the point (-2,3). More generally, given a fixed point (a, b), what is the equation of the first order ODE representing the set of circles centred at that point?

Obtain the differential equations associated with the following general sets of curves. If there are n constants you will need an nth order differential equation. You will first need to find the general equation of the set of curves. Some of these need quite a lot of manipulation. (a) The set of circles centred at the point (-2,3). More generally, given a fixed point (a, b), what is the equation of the first order ODE representing the set of circles centred at that point?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
Shinichi Kudo discovered a dead body in a room at midnight with a temperature of 20oC. Since the guest house where the room was located is far from the town, Inspector Megure arrived one hour, 34 minutes and 28 seconds later, and the temperature of the dead body dropped to 18oC. Shinichi noticed that the room temperature is kept constant at 16oC. By recalling some differential equations he learned from the Professor, he was able to estimate the time of death of the corpse. When did the victim died? Express your answer in HH:MM format. choices: 8:14 PM 7:15 PM 9:30 PM 6:23 PM
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This is Differential Equation, "Applications of FOODE"
When you substitute y''p and yp into the equation, where does the: 4Ccos(2x) and -4Dsin(2x) come from? While you have 10 different trig functions from the substitution, there should only have been 8 trig finctions from the substitution.... y'' = -9Asin(3x) - 9Bcos(3x) - 4Csin(2x) - 4Dcos(2x) --> that's 4 and 4y = 4(Asin(3x) + Bcos(3x) +Csin(2x) + Dcos(2x)) --> that's the other 4. Where does the 4Ccos(2x) and -4Dsin(2x) come from in the multiplication?
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