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Solve the differential equation using the method of undetermined coefficients. y " + 9y = e 2x {image} 2. 1. 4. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15.

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Presentation on theme: "Solve the differential equation using the method of undetermined coefficients. y " + 9y = e 2x {image} 2. 1. 4. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15."— Presentation transcript:

1 Solve the differential equation using the method of undetermined coefficients. y " + 9y = e 2x
{image} 2. 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

2 Solve the differential equation using the method of undetermined coefficients. y" + 10y' + 25y = 1 + x 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

3 Find a trial solution for the method of undetermined coefficients
Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients. y " + 3y' + 7y = x 4 e 3x 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 Find a trial solution for the method of undetermined coefficients
Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients. y " + 3y' = 1 + xe- 3x {image} 1. 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

5 Solve the differential equation using the method of variation of parameters. y'' -3y' +2y = {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

6 Solve the differential equation using the method of variation of parameters. y'' + 2y' + y = {image} {image} 1. 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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