This preview shows page 1. Sign up to view the full content.
Unformatted text preview: M 427K Midterm exam February 20, 2003
N.~.~
Unique # 56045
STUDENT # Please show all work clearly and circle all answers.
There are 5 problems: 20 points each. Solve the initial value problem
=y 1 2 3 yl x (1 +x y(O) ) = 1. ill 2. Find the general solution of the differential equation
1 yl = 2 (x + 1) 3
y + (x + 1) Show that the following equation is exact and integrate it
2 3x 2  6xy  (3x + 2y)yl =0 1 4. Find a fundamental set of solutions of the differential
" equation
2yll + 2yl + y = 0 Find the general 5Solution of this equation.
1 L •• ill: t
l 1,2.. . '1 ':: Ct eo.:. ~ v5. To ~ e.. For the initial value problem
2 @ 4 yl = y 2
+x y(O)=O compute the zero, first, and second Picard's approximations
to the exact solution. _
_ ...
View
Full
Document
This note was uploaded on 01/27/2012 for the course MATH 427 k taught by Professor Goddard during the Fall '10 term at University of Texas at Austin.
 Fall '10
 GODDARD
 Differential Equations, Equations

Click to edit the document details