АСTIVITY 3 Direction: solve and analyze each of the following problem tn neat and orderlu men Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin x %3D 2. (D2 – 4D + 4)y = e* 3. (D² – 3D + 2)y = 2x³ – 9x2 + 6x 4. (D² + 4D + 5)y = 50x + 13e3x 5. (D3 - D2 + D- 1)y = 4 sin x 6. (D³ – D)y = x

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Differential Equation : Non-Homogenous Differential Equation with Condtant Coefficient #3 only
ACTIVITY 3
manner.
Direction: solve and analyze each of the following problem in neat and orderlu
Determine the general solutions of the following non homogenous linear
equations.
1. (D² + D)y = sin x
2. (D2 - 4D + 4)y = e*
3. (D2 – 3D + 2)y = 2x³ – 9x2 + 6x
4. (D² + 4D + 5)y = 50x + 13e3x
5. (D3 - D2 + D - 1)y = 4 sin x
%3D
6. (D3 – D)y = x
Transcribed Image Text:ACTIVITY 3 manner. Direction: solve and analyze each of the following problem in neat and orderlu Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin x 2. (D2 - 4D + 4)y = e* 3. (D2 – 3D + 2)y = 2x³ – 9x2 + 6x 4. (D² + 4D + 5)y = 50x + 13e3x 5. (D3 - D2 + D - 1)y = 4 sin x %3D 6. (D3 – D)y = x
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