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Unformatted text preview: A = ± 2 132 ¶ 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 speciﬁed. A = ± 2 233 ¶ 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, ﬁnd 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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 Spring '07
 King
 Differential Equations, Equations, Boundary value problem, fundamental set, Polytechnic Institute of New York University, Polytechnic Institute of NYU MA

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