1. Use power series to solve the differential equation. {image}1.
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2. Use power series to solve the differential equation. y '' = 64y1.
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3. Use power series to solve the differential equation. {image}1.
{image} 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. Use power series to solve the differential equation. {image}1.
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5. The solution of the initial - value problem x 2y '' + xy ' + x 2y = 0 y ( 0 ) = 1 y ' ( 0 ) = 0 is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. 1.
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