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midterm2007

# midterm2007 - Midterm Exam MATH 150 Introduction to...

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Midterm Exam MATH 150: Introduction to Ordinary Differential Equations J. R. Chasnov 24 October 2007 Answer ALL questions Full mark: 50; each question carries 10 marks. Time allowed – one hour Directions – This is a closed book exam. You may write on the front and back of the exam papers. Student Name: Student Number: To solve y + p ( x ) y = g ( x ) , y ( x 0 ) = y 0 , let μ = exp ( integraltext x x 0 pdx ). Then, y = 1 μ ( y 0 + integraltext x x 0 μgdx ). Question No. (mark) Marks 1 (10) 2 (10) 3 (10) 4 (10) 5 (10) Total

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Question 1 Score: Find the solution y = y ( x ) of the following initial value problem: y = x 2 y 2 , y ( - 1) = 2 . – 1 –
Question 2 Score: Find the solution y = y ( x ) for x > 0 of xy - 2 y = x 3 cos x, that passes throught the point ( x, y ) = ( π/ 2 , 0). – 2 –

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Question 3 Score: You borrow S 0 = \$100 000 from the bank at r = 12% interest for T = 3 years. Assume continuous

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midterm2007 - Midterm Exam MATH 150 Introduction to...

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