plugin-ch4soln

plugin-ch4soln - Math 245 4 Chapter Test (Feb.25,2009) 2009...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Spring 2009 Please check your discussion section: n llam n 12pm r lpm Jof Sovns' 1 o,,\4. FS\ I Prob. 2. (lOpts) Write the quantity y = -Ji cos3r - sin3r in the formy Rcos(a/ d), where Randthe dareallpositivevalues(n>0 and d>0). Showclearlytheprocessofusingthe trigonometric identity. t=z{+Lo$3ttJs* =Z t ^tT c"\jt +$vn$ r Lrstrt-+) 4 .. I f*rt J Math 245 Chapter 4 Test (Feb.25,2009) Su.t- Mol"tP''r Prob. 1. (10pts) Solutions of a linear 2nd order ODE are given by yr(t) t2 and yr(t) t2lnt . Determine whether they are the fundamental set of solutions or not. r,v ll ;i \= lI ,iil--.| y)M.t3-ut*r:r3 ) \/\I ro ) t' ,1.'
Background image of page 1

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

View Full DocumentRight Arrow Icon
Prob. 3. (10pts) Write the complex number , - 5-t+2i in the form a + ib . Z = | ehs]-t+ie- -/^s +itL,,f :.{^.s oio.hr _ t{,"ste0*s) ti i^taLs)} / e = g =-,r- trY't\<r'^"'Jfu // Prob. 4. (10ts) The characteristic equation for a homogeneous 4th-order ODE is given by: (D"+r)'U: -4x"+13)=g. the general solution of the ODE in real-valued form, and determine whether the solution is asymptotically stable or unstable as t + o. Xr,.= - +_ Wy*-A1 ]rt-+lt13=o -t 1=2LJa-ti =) tr3,$=2ttB 3 c, dt** c't €l+ e* { c+cni st -r cs d=- lt| 4 S,0t t.-.sto-[r(. hlL P" (Ig,+) , o 4
Background image of page 2
Prob. 5.
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/01/2009 for the course MATH 245 taught by Professor Alexander during the Spring '07 term at USC.

Page1 / 5

plugin-ch4soln - Math 245 4 Chapter Test (Feb.25,2009) 2009...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online