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?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(4) 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?
Transcribed Image Text:(4) 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?
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