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Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB ODE suite.

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Mole‪r‬ MIT

    • Utbildning

Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB ODE suite.

    • video
    Introduction to Differential Equations and the MATLAB® ODE Suite

    Introduction to Differential Equations and the MATLAB® ODE Suite

    Gilbert Strang and Cleve Moler provide an overview to their in-depth video series about differential equations and the MATLAB® ODE suite.

    • 2 min
    • video
    Overview of Differential Equations

    Overview of Differential Equations

    Differential equations connect the slope of a graph to its height. Slope = height, slope = -height, slope = 2t times height: all linear. Slope = (height)^2 is nonlinear.

    • 14 min
    • video
    The Calculus You Need

    The Calculus You Need

    The sum rule, product rule, and chain rule produce new derivatives from known derivatives. The Fundamental Theorem of Calculus says that the integral inverts the derivative.

    • 14 min
    • video
    Response to Exponential Input

    Response to Exponential Input

    For a linear equation with exponential input from outside and exponential growth from inside, the solution is a combination of two exponentials.

    • 13 min
    • video
    Response to Oscillating Input

    Response to Oscillating Input

    A linear equation with oscillating input has an oscillating output with the same frequency (and a phase shift).

    • 15 min
    • video
    Solution for Any Input

    Solution for Any Input

    To solve a linear first order equation, multiply each input by its growth factor and integrate those outputs.

    • 13 min

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