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gibson:teaching:fall-2015:math527:hw3hints [2015/09/18 09:45] gibson created |
gibson:teaching:fall-2015:math527:hw3hints [2015/09/18 09:47] (current) gibson |
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For problem 1d, invert the equation to get | For problem 1d, invert the equation to get | ||
- | \begin{align} | + | \begin{equation*} |
\frac{dx}{dy} = x (x-y) | \frac{dx}{dy} = x (x-y) | ||
- | \end{align} | + | \end{equation*} |
- | and now analyze this as an ODE in $x(y)$. | + | and consider this as an ODE in $x$ as a function of $y$. This ODE can be classified as one of the types we have studied. |