1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters.

Algebra & Trigonometry with Analytic Geometry
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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1. (D 2 + 3D + 2)y = 4t 2
By: (a) reduction of order, and (b) variation of parameters.
2. 2. x" + 11x'+ 30x = 8t By undetermined coefficients.
3. 3. (D 3 – 2D 2 + D)y = xe x + 1, y(0) = y' (0) = 0, y "(0) = 1.
Transcribed Image Text:1. (D 2 + 3D + 2)y = 4t 2 By: (a) reduction of order, and (b) variation of parameters. 2. 2. x" + 11x'+ 30x = 8t By undetermined coefficients. 3. 3. (D 3 – 2D 2 + D)y = xe x + 1, y(0) = y' (0) = 0, y "(0) = 1.
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