John777
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In a differential equation in doing a substitution such as z=dy/dx can I do the following:zdx=dy
Integrate both sides
y=zx
Integrate both sides
y=zx
Please verfiy this differential substitution is mathamatically legal
- Context: Undergrad
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John777 said:
You can probably get away with doing this, yes.
John777 said:
Ah, but integrate both sides with respect to what?
John777 said:
In taking this step, you have implicitly assumed that z is constant (i.e. that it does not depend on x). Since z = dy/dx, that's not going to be true in general, is it?