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# Use the direction field labeled I (above) to sketch the graphs of the solutions that satisfy the given initial conditions.(a) $y(0)=1$(b) $y(0)=2.5$(c) $y(0)=3.5$

## (a) $y(0)=1$(b) $y(0)=2.5$(c) $y(0)=3.5$

#### Topics

Differential Equations

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### Video Transcript

were given a slope. Initial conditions. You're asked to find a solution which have these initial conditions of this The one labelled one one initial conditions that were given or part a Why zero equals one. They're all this grand black. So we have that when you're one my home and we see that all of this field grab as a couple why resemble no sign function which what is out as the purchase benefit? United Side 14 given initiative mission Y zero People's 2.5 Oh crap, this is red. So we need a 0.0 by why's grab And it's only slope field thing Is Harold folks as possible that this rare also has before the last two y two that it sort of resembles, oh, election. Oh, our first bath across the line White is too, and one shrinkage vertically by actor too. No, quite See, we're giving initial condition. Why zero schools report by I'll grab this green. So we have 2.0. I won't buy lives on the graph and again we have this crap. Well, this Carollo's possible that has a nasty why

Ohio State University

#### Topics

Differential Equations

Lectures

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