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(1 point) Sometimes a differential equation which is not separable can be made separable by a change of variables. In this problem you will solve yy, which is not separable. Make the change of variables u = y/x , or, equivalently, y-xu(x), to rewrite the above Bxy differential equation in terms of an unknown function v and independent variable x Ui (dont forget about the chain rule!) dx You should have obtained a separable differential equation. Solve this differential equation for v, then solve for the original unknown function y. This technique works if the original differential equation can be rewritten in the form dy y) is a function of the ratio ylx only. Such a differential equation - f(x, y) such that f(x, is called homogeneous.

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