Question: please give all explaination 1. A first-order differential equation is homogenous if it can be written in the form dy for x 0 where f

1. A first-order differential equation is homogenous if it can be written

please give all explaination

1. A first-order differential equation is homogenous if it can be written in the form dy for x 0 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) = a) Find a separable differential equation that is satisfied by the function u. b) Use your answer to part a) to solve if y(l) = O.

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