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HW+2c1010 - 2(1 2 2 x y xy y ′′ ′ = about(a x =(b 1 x...

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MATH 537002706 HW 2c 10/10/2011 1. Given the differential equation 0 ) (1 2 = + + + + y x x y y , Find a power series solution centered at 0. Is that an ordinary point or a singular point? Why? What is the radius of convergence of the power series solution? 2. Construct a differential equation that has 2 1 and 2 as roots of its indicial equation. 3.
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Unformatted text preview: 2 (1 ) 2 2 x y xy y ′′ ′--+ = about (a) x = (b) 1 x = 4. Find a power series solution to 8 5 2 = + ′ + ′ ′ y x y y x 5. Find a power series solution to ) 2 1 ( 2 = +-′ + ′ ′ y x y x y x R.Tam...
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