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OpenStudy (anonymous):
Let y(x) be the position of a particle at time x. Suppose that we know that the velocity of a particle satisfies the differential equation. y'(t) = ty with y(0)=1. We will try to give a reasonable method to approximate some of the positions of the particle. Integrate both sides to show that y(x)= ʃ ty(t)dt +1 from 0 to x
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