Find rate of change of implicit function. There is a function like that : y/x=a+bx^2+cy^4. I want to find rate of change of y/x. If I find dydx or dx/dy it will give me rate of change of y (or x) respectively to x (or y). But I want to find rate of the change of the dy/dx itself. How can I do it?

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The solution of a differential equation y′′+3y′+2y=0 is of the form
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B) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{3x}$
C) $c_1{e}^{-<!--\; -\; -->x}+c_2{e}^{-<!--\; -\; -->2x}$
D) $c_1{e}^{-<!--\; -\; -->2x}+c_2{2}^{-<!--\; -\; -->x}$

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