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Can anyone suggest a method of solving this equation:
d(xy)/dx = a^xy (Where ^ means raised to the power)
Don't try a series solution.
d(xy)/dx = a^xy (Where ^ means raised to the power)
Don't try a series solution.
They just spring to mind. They also use the same ideas.asdf1 said:@@a
wow~
how'd you think of those two methods?
It is just the chain rule of single variable calculus.GCT said:[tex]\frac{d(a^{-xy})}{dx}=a^{xy}a^{-xy}\frac{d(-xy)}{d(xy)}\log(a)[/tex]
how'd you take a derivative of two variables, is this multivariable calculus?
We need not think of it that way since y=y(x)GCT said:hmm, I thought that differentiating/integrating two dummy variables might be an issue, although I have only taken integral calculus and intro differential equations, skipped multivariable. Anyways, thanks for the details.