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Alternative Homogeneous Substitution
For equations involving:
$$\frac{x}{y}$$
use:
$$x=vy$$
Then:
$$\frac{dx}{dy}=v+y\frac{dv}{dy}$$
Usage
- Useful when the differential equation is more naturally expressed in terms of $$x/y$$.
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Alternative Homogeneous Substitution
For equations involving:
$$\frac{x}{y}$$
use:
$$x=vy$$
Then:
$$\frac{dx}{dy}=v+y\frac{dv}{dy}$$
Usage
- Useful when the differential equation is more naturally expressed in terms of $$x/y$$.
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