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Bernoulli Equation with Reciprocal Variable
For:
$$\frac{dy}{dx}+P(x)y=\frac{Q(x)}{y}$$
put:
$$v=y^2$$
Then:
$$\frac{dv}{dx}=2y\frac{dy}{dx}$$
Usage
- Converts the equation into a first-order linear equation in $$v$$.
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Bernoulli Equation with Reciprocal Variable
For:
$$\frac{dy}{dx}+P(x)y=\frac{Q(x)}{y}$$
put:
$$v=y^2$$
Then:
$$\frac{dv}{dx}=2y\frac{dy}{dx}$$
Usage
- Converts the equation into a first-order linear equation in $$v$$.
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