Charles B. answered • 05/29/20
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Engineering Student at University of Michigan
One could rewrite the original equation by moving the y term to the left and the dx/dt term to the right.
Then it would become:
-x/y = dy/dx
Now it becomes a simple question of implicit integration.
Dorsa R.
and how can it be like this d(lnx)/dt=-d(lny)/dt
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05/29/20
Charles B.
that rewrite is because the derivative of ln(x) is (1/x)dx, so instead of writing (1/x)(dx/dt), one can write d(lnx(x))/dt, because dx signifies deriving the x, and we are replacing the x with the antiderivative of what was previously being derived.
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05/29/20
Dorsa R.
so what will happen to dt ?05/29/20