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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

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