366_lab4

366_lab4 - The differential equation is not continuous at x...

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1. > > > > 2. a. > >

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> b. > > > > c. >
> > d. L[y] = y’+ p(x)y = q(x) y[f(x)] = q(x) y[g(x)] = q(x) h(x) = f(x) – g(x) y[h(x)] = y[f(x) – g(x)] = y[f(x)] - y[g(x)] = q(x) - q(x) = 0 e. > > >

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> > f. > 3 . Yes.
0 0.5 1 1.5 2 2.5 3 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 x y y ' = (x 2 (x - 2) 2 + y)/(x - 2) 2 4. Yes, both solutions are unbounded near x = 2.

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Unformatted text preview: The differential equation is not continuous at x = 2, when x = 2, the denominator is 0. 5. 0.5 1 1.5 2 2.5 3 0.5 1 1.5 2 2.5 3 x y y ' = x 2- y/(x - 2) 2 0.5 1 1.5 2 2.5 3-1000-900-800-700-600-500-400-300-200-100 x y ' = x 2- y/(x - 2) 2...
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366_lab4 - The differential equation is not continuous at x...

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