Solution to ordinary differential equations posed as definite integral

This blog is an example to show the use of second fundamental theorem of calculus in posing a definite integral as an ordinary differential equation.  This plays a prominent role in showing how we can use numerical methods of ordinary differential equations to conduct numerical integration.

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2 thoughts on “Solution to ordinary differential equations posed as definite integral”

  1. Hello Dr. Autar,

    I am Mechanical Engineering graduate student. I read your blog quite often. This post is very informative. I just found that there is one writing mistake in first two steps of integration that it should be cube of x instead of square of x.

    Sincerely,
    Newzil Patel.

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