Consider a circle of radius 'a' and centre (h,b)(adsbygoogle = window.adsbygoogle || []).push({});

then the equation of the circle is given by (x-h)^{2}+ (y-b)^{2}= a^{2}

I expressed this in terms of differential equations which is -

a= {[1+(dy/dx)^{2}]^{3/2}}/{d^{2}y/dx^{2}}

According to my book - this equation indicates that 'a' is a constant. How can you infer from this equation that 'a' is a constant? (Note: I know that 'a' is a constant but I can't understand how you can infer that from this differential equation).

Thanks in advance.

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# Differential equation of a circle

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