p1 - Math 5525: Spring 2010 Introduction to Ordinary...

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Unformatted text preview: Math 5525: Spring 2010 Introduction to Ordinary Differential Equations: Homework #1 (due on February 10). 100 points are divided between 10 problems, 10 points each. #1. Find a second-order equation of the form a(x)y +b(x)y +c(x)y = 0, which has solutions y = C1 x2 + C2 ex for arbitrary constants C1 and C2 . Solve the following differential equations: #2. x2 y 2 y + 1 = y. #3. y - y = 2x - 3. #4. y = cos(y - x). #5. xy - y = (x + y) ln #6. 2x2 y = y 3 + xy. #7. y + tan x y = #8. 3x2 (1 + ln y) = 2y - #9. y - y + 2y = 0. #10. y + 2y - 3y = x2 ex . x3 y. y 1 . cos x x+y . x ...
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This note was uploaded on 02/15/2012 for the course MATH 5525 taught by Professor Staff during the Spring '08 term at Minnesota.

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