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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 ý- 20, v(l)- 1, which is not separable. Аху Make the change of variables vy/x, or, equivalently, y - xv(x), to rewrite the above differential equation in terms of an unknown function v and independent variable x. dv dx (dont forget about the chain rule!) You should have obtained a separable differential equation. Solve this differential equation for v, then solve for the original unknown function y. y= (1/4).(sqrt(17x^ 10-x^2)) f(x, y) such that f(x, y) is a function of This technique works if the original differential equation can be rewritten in the form ax the ratio ylx only. Such a differential equation is called homogeneous.

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