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Find the solution of y ′ = (y/x)^2, y(1) = 1 Check that the equation is...

Find the solution of

y ′ = (y/x)^2, y(1) = 1

Check that the equation is of all of the following types:

(a) Separable

(b) Exact

(c) Homogeneous

(d) Bernoulli

Derive the solution by using each of these methods.

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