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15 Cards in this Set
- Front
- Back
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How do you solve a first order, linear differential equation?
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Write out the step-by-step solution for a first-order, linear differential equation
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Write out the step-by-step solution for a separable differential equation.
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How do you evaluate the stability of a steady-state?
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Compute the derivative of the differential equation with respect to y. Evaluate it at the equilibrium value of y (i.e. y*). If the result is greater than 0, then y is locally unstable. If the result is less than zero, then y is locally stable.
Note: This holds true when there are multiple equilibria. Simply apply the same test to each equilibrium to determine its local stability. |
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