Consider The Initial Value Problem
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Consider The Initial Value Problem
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The first step in solving this initial value problem is to take the antiderivative of both sides of the differential equation This gives latex begin array ccc hfill displaystyle int v prime left t right dt hfill displaystyle int 9 8dt hfill hfill v left t right hfill 9 8t C hfill end array latex · 0:00 / 5:46 Initial Value Problem The Organic Chemistry Tutor 7.21M subscribers Join Subscribe Subscribed 6.3K Share 654K views 4 years ago New Calculus Video Playlist This calculus video
Consider The Initial Value Problem · What is an initial value problem? Consider the following situation. You’re given the function ???f(x)=2x-3??? and asked to find its derivative. This function is pretty basic, so unless you’re taking calculus out of order, it shouldn’t cause you too much stress to figure out that the derivative of ???f(x)??? is ???2???. Y x0 y0 y x 0 y 0 is an example of an initial value problem The condition y x0 y0 y x 0 y 0 is known as an initial condition For example looking for a function y y that satisfies the differential equation dy dx 6x2 d y d x