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How To Solve First Order Homogeneous Differential Equation
This looks simple enough, but we find that we cannot express the RHS in the form of 'x-factors' and 'y-factors', so we cannot solve by the method of separating the variables. In this case we make the substitution y = vx, where v is a function of x. So y = vx. Differentiate with respect to x (using the product rule): dy/dx = v+x(dv/dx) then you ...
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