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Solve the differential equation. y'' - 10y' + 74y = 0

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Presentation on theme: "Solve the differential equation. y'' - 10y' + 74y = 0"— Presentation transcript:

1 Solve the differential equation. y'' - 10y' + 74y = 0
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

2 Solve the differential equation. y'' - 6y' + 9y = 0
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3 Graph the two basic solutions of the differential equation and several other solutions. {image}
1. {applet} 2. 3. 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 Solve the initial-value problem. y'' - 36y = 0, y(0) = 4, y'(0) = 0
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5 Solve the boundary-value problem, if possible
Solve the boundary-value problem, if possible. y'' + 2y' - 35y = 0, y(0) = 0, y(2) = 1 2. No solution {image} 1. 4. 3. 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

6 Solve the boundary-value problem, if possible. {image}
1. {image} No solution 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


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