Question: 1. A first-order differential equation is homogenous if it can be written in the form dy = $ for x * 0 dx where f

1. A first-order differential equation is
1. A first-order differential equation is homogenous if it can be written in the form dy = $ for x * 0 dx where f is a function of a single variable. If y = y(x) is a solution to a first-order homogenous differential equation, define u = u(x) = y(x) /x. a) Find a separable differential equation that is satisfied by the function u. b) Use your answer to part a) to solve dy x - y dx xty if y(1) = 0

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