Euler_Cauchy

# Euler_Cauchy - 9 y = 0 7 x 2 y 00-4 xy 6 y = 0 y(1 = 1 y(1...

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MAT 2384-Practice Problems on Homogeneous Euler-Cauchy Equations For each of the following ODEs, Find the General Solution. If an initial condition is given, ﬁnd also the corresponding particular solution. 1. x 2 y 00 - 6 y = 0 2. x 2 y 00 - 7 xy 0 + 16 y = 0 3. x 2 y 00 - xy 0 + 2 y = 0 4. 2 x 2 y 00 + 4 xy 0 + 5 y = 0 5. 10 x 2 y 00 - 20 xy 0 + 22 . 4 y = 0 6. 100 x 2 y 00
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Unformatted text preview: + 9 y = 0 7. x 2 y 00-4 xy + 6 y = 0 , y (1) = 1 , y (1) = 0 8. x 2 y 00 + 3 xy + y = 0 , y (1) = 4 , y (1) =-2 9. x 2 y 00-2 xy + 2 . 25 y = 0 , y (1) = 2 . 2 , y (1) = 2 . 5 10. xy 00 + 4 y = 0 , y (1) = 12 , y (1) =-6 1...
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## This note was uploaded on 02/02/2011 for the course MATH MAT 2384 taught by Professor Khoury during the Spring '10 term at University of Ottawa.

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