Web Reference: Here we turn to one common use for antiderivatives that arises often in many applications: solving differential equations. A differential equation is an equation that relates an unknown function and one or more of its derivatives. An initial value problem specifies a differential equation along with a condition at a particular point, such as p (1) = 0. Solving an IVP involves finding the general solution and then using the initial condition to determine the specific constant. Assume that f and g are continuous functions on an interval I. Then for each x0 2 I and for all y0 2 R, the initial value problem y 0 = f(x)y + g(x) y(x0) = y0 has exactly one solution y = '(x) on the interval I. Example : Solve the initial value problem y 0 = xy with y(0) = 1. Note : This equation is linear with integrating factor
YouTube Excerpt: In this lesson we are going to learn how to
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