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midterm3-1 - Mid Term Examination Summer 2009 Dierential...

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Mid Term Examination, Summer, 2009 Differential Equations/Linear Algebra MTH 2201 07/07/2009 Time: 60 min Max.Credit: 30 Answer all the questions. Make your answers precise and write legibly. Calculators are NOT allowed. Each question carries 5 points. 1. Given that y ( x ) = x 2 is a solution of the ODE x 2 y + 2 xy - 6 y = 0, use the method of reduction of order and find a second solution that is linearly independent from y ( x ). 2. Use the method of undetermined coefficients
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