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practice3

# practice3 - 9 y 00 6 y 4 y = 0 y(0 = 3 y(0 = 4 3 4 Find a...

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Math242 - Practice Exam 3 1. Use the Wronskian to prove that the following functions are linearly independent, f ( x ) = 1 , g ( x ) = x, h ( x ) = x 2 . 1

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2. Find the general solution of y (4) - 8 y (3) + 16 y 00 = 0 2
3. Solve the initial value problem

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Unformatted text preview: 9 y 00 + 6 y + 4 y = 0; y (0) = 3 , y (0) = 4 . 3 4. Find a particular solution y p of 4 y 00 + 4 y + y = 3 xe x 4 5. Find the general solution of y 00 + y = sin x + x cos x. 5...
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practice3 - 9 y 00 6 y 4 y = 0 y(0 = 3 y(0 = 4 3 4 Find a...

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