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MATH 365 Homework 02: Solutions to Ordinary Differential Equations, Assignments of Differential Equations

The solutions to six ordinary differential equations and initial value problems assigned in millersville university's math 365 course. Students are expected to provide justifications for their work to receive full credit. Each problem is worth 10 points, and the assignment is due on september 5, 2008.

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Pre 2010

Uploaded on 08/17/2009

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Millersville University Name
Department of Mathematics
MATH 365, Ordinary Differential Equations, Homework 02
September 3, 2008
Find the solutions to the following ordinary differential equations and initial value problems.
Answers without justifying work will receive no credit. Partial credit will be given as appro-
priate, do not leave any problem blank. Each problem is worth 10 points. Your completed
assignment is due at class time on Friday, September 5, 2008.
1. dy
dt =(y1)(t2)(y+ 3)
(t1)(y2)(t+ 3)
pf3
pf4
pf5

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Millersville University Name Department of Mathematics MATH 365, Ordinary Differential Equations, Homework 02 September 3, 2008

Find the solutions to the following ordinary differential equations and initial value problems. Answers without justifying work will receive no credit. Partial credit will be given as appro- priate, do not leave any problem blank. Each problem is worth 10 points. Your completed assignment is due at class time on Friday, September 5, 2008.

dy dt

(y − 1)(t − 2)(y + 3) (t − 1)(y − 2)(t + 3)

dy dt

  • cot t y = cos t

dy dt

= t −

y 3 t

and y(1) = 1

dy dt

4 y^2 − t^4 4 ty

(Hint: change the dependent variable to v = y/t. Use this to find the solution to the original equation.)