bernoulli's equation

Question

The differential equation dy/dx + Py = Qyⁿ is called

RankGuru · Accepted Answer

1. **Form Recognition**: This is a non-linear first-order differential equation because of the $y^n$ term (where $n 
eq 0$ and $n 
eq 1$).
2. **Transformation**: It can be converted back to a linear equation using the substitution $v = y^{1-n}$.
3. **Resulting Linear Form**: $\frac{dv}{dx} + (1-n)Pv = (1-n)Q$.
4. **Identification**: This specific structure is named **Bernoulli's Equation**.

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bernoulli's equation

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