2132worksheet5

2132worksheet5 - A = 2 1-3-2 and b ( t ) = [2 e t , 4 e t ]...

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Polytechnic Institute of NYU MA 2132 Worksheet 5 Date: Print Name: Signature: ID #: Instructor: Jacobovits Problem Possible Points 1 15 2 15 3 15 4 20 5 20 6 15 Total 100
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Your signature: (1) Find a fundamental set of solutions for the problem x 0 = Ax where A is as specified. A = ± - 1 1 - 4 3
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Your signature: (2) Find a fundamental set of solutions for the problem x 0 = Ax where A is as specified. A = ± 3 2 - 8 - 5
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Your signature: (3) Find a fundamental set of solutions for the problem x 0 = Ax where A is as specified. A = 0 1 1 1 1 - 1 - 2 1 3
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Your signature: (4) Find a fundamental set of solutions for the problem x 0 = Ax + b where A and b are as specified.
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Unformatted text preview: A = 2 1-3-2 and b ( t ) = [2 e t , 4 e t ] Your signature: (5) Find a fundamental set of solutions for the problem x = Ax + b where A and b are as specied. A = 2 2-3-3 and b ( t ) = [1 , 2 t ] Your signature: (6) Consider the following initial value problem y + 2 y = 4 x 2 , y (0) = 2 . (a) Using the Euler method with step size h = 0 . 1, nd an approximate value for the solution at x = 0 . 3. (b) Find the exact solution and determine its value at x = 0 . 3....
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2132worksheet5 - A = 2 1-3-2 and b ( t ) = [2 e t , 4 e t ]...

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