Higher_Homogeneous - (0) = 1 , y 00 (0) = 2 , y 000 (0) =-1...

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MAT 2384-Practice Problems on higher order homogeneous ODEs Question 1 Find an ODE for which the given functions form a basis of solutions. 1. e x , e 2 x , e 3 x 2. e x , e - x , cos x, sin x 3. 1 , x, cos 2 x, sin 2 x Question 2 Solve the given ODE. 1. y 000 + y 0 = 0 2. y 000 + y 00 - y 0 - y = 0 3. y (4) - 29 y 00 + 100 y = 0 , y (0) = - 1 , y
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Unformatted text preview: (0) = 1 , y 00 (0) = 2 , y 000 (0) =-1 4. y (4)-9 y 00-400 y = 0 , y (0) = 0 , y (0) = 0 , y 00 (0) = 41 , y 000 (0) = 0 5. y (4) + 4 y = 0 , y (0) = 1 2 , y (0) =-3 2 , y 00 (0) = 5 2 , y 000 (0) =-7 2 1...
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This note was uploaded on 02/24/2010 for the course SITE MAT2384 taught by Professor Josephkhoury during the Fall '09 term at University of Ottawa.

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