Flashcards 2022-01-19 What’s the reducible differential equations topic about?? Transforming complicated differential equations into simpler ones using a substitution.
If $z = \frac{y}{x}$, or $y = xz$ what is $\frac{\text{d}y}{\text{d}x}$?? $$ \frac{\text{d}y}{\text{d}x} = z + x\frac{\text{d}z}{\text{d}x} $$
What’s the first stage in doing a first-order reducible differential equations question?? Working out how to substitute the derivative by differentiating.
If a reducible differential equations question asks you to substitute $z = \frac{y}{x}$ then what is the first step?
2022-01-19
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