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Ordinary differential equations

An ODE relates an unknown function of one variable to its derivatives.

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  • Bernoulli equations

    A power substitution converts a suitable nonlinear first-order Bernoulli equation into a linear one.

  • Derivatives

    A derivative is the limit of a difference quotient, measuring local rate of change when that limit exists.

  • Euler method

    Euler's method advances an ODE solution using its current derivative and a step size.

  • Exponential growth

    A constant per-capita growth rate yields exponential population change.

  • Floating-point arithmetic

    Finite-precision arithmetic introduces rounding and has bounded representable ranges.

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