Consider the first-order ODE, which is when the highest derivative appearing in the equation is a first derivative. The second question is much more difficult, and often we need to resort to numerical methods. However, in this tutorial we review four of the most commonly-used analytic solution methods for first-order ODES. In this case, a simple solution technique can be derived as follows:. Upon integrating, we have our implicitly-defined general solution of the ODE, which we can often solve explicitly for y t. Separating the variables and integrating,.
Ch. 1 Introduction - Calculus Volume 1 | OpenStax
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Please log in to save materials. Log in. Standard: Determine the existence of, estimate numerically and graphically and find algebraically the limits of functions. Recognize and determine infinite limits and limits at infinity and interpret them with respect to asymptotic behavior. Standard: Determine the derivative of a function using the limit definition and derivative theorems.
Secant approximation mathlet from the d'Arbeloff Interactive Math Project. Don't show me this again. This is one of over 2, courses on OCW. Explore materials for this course in the pages linked along the left.