midterm1sol

# midterm1sol - Problem 1(20 points For the autonomous...

This preview shows pages 1–7. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem 1 (20 points) For the autonomous equation y! = _ 4 1. ﬁnd the solution with y(0) = 1 and its limit when it: approaches inﬁnity; B __ CHIHC) H 41‘ (3+2 _ 6 rﬁzﬂe ' _ 2* H 14-641: Uga— t- ﬁt“ I we?! @ A= “3‘ 4t \_.LC¥‘£' 3H6 2 Paige/4f? : 2 3+€¢t ﬁ MM tam 31%) -——*> Z This page is far conﬁrming Problem 1 if not ﬁnished. Problem 2 (15 points) Solve y’ = 2y + 64,910) = 2 by variation of parameter. Problem 3 (20 points) Solve _ (v.2 + 2uv)du -|— (1:2 — v2)dv = U by two diﬂ'erent method. a a WWW”: W W 99 W Win/1. (K5 Let k; “V tun dAA=£€du+vdk “41%: £36sz m; Uglﬁklr k3]: Luv—r C [(“Bkikg = V’— 3vzu— u7’= OGLM. Problem 4 (15 points) Solve y' + \$23: = 0 by two different methods. LY} / i;an 1_ _' “3)”? if” “V- 13 -;('X; €W= C. ‘3': 09 WW aLy L 90V T: —X if :HKIAX Ulﬁ‘I'JEXH x1 J} giteﬁfc 3:0-635 Problem 5 (15 points) Solve (t + 3m + y = 6*, y(—5) = 10 and ﬁnd existence of interval. Problem 6 (15 points) Find curves in the ﬁrst quadrant such that each tangent is separated equally by the tangent point between two axes. J 0L)” 33. _ l ’ “If: _ M X01? “f 7d)!“~'—o ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

midterm1sol - Problem 1(20 points For the autonomous...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online