Q3. a) (i) Evaluate the following integral using integration by parts Se²x co e²x cos (2x + 2)dx (ii) Evaluate the following integral using polynomial long division: 3x² - 5x - 12 - dx x-2

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Chapter2: Second-order Linear Odes
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Can you please help me with parts a b and of this question.

Q3. a) (i) Evaluate the following integral using integration by parts
Se²x,
e2x cos (2x + 2)dx
(ii) Evaluate the following integral using polynomial long division:
3x²5x12
x-2
dx
b) Find the solution to the following second order differential equation:
d²y
dy
+ 5y = x² - 4
dx²
dx
4.
Transcribed Image Text:Q3. a) (i) Evaluate the following integral using integration by parts Se²x, e2x cos (2x + 2)dx (ii) Evaluate the following integral using polynomial long division: 3x²5x12 x-2 dx b) Find the solution to the following second order differential equation: d²y dy + 5y = x² - 4 dx² dx 4.
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