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 DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 5 (4) Find the general solution of d 2 y dt 2 + 2 dy dt + y = 0 , where is some positive constant. Your answer should be valid for all possible choices of > 0. 6 (5) Find the general solution of d 2 y dt 2 + 3 dy dt + 2 y = cos t. 7 Do either this problem or problem 3 (on complex numbers) but not both (6) (a) Find the equation in Cartesian Coordinates for the curve which in Polar Coordinates is given by r 2 = sin cos . (b) Find the equation in Polar Coordinates for the curve which in Cartesian Coordinates is given by x 4 + y 2 = 3 x . (c) Consider a Logarithmic Spiral which in Polar Coordinates is given by r = e / 2 . For which value(s) of between 0 and 2 does this spiral have a horizontal tangent? [Continue on reverse side, if necessary]...
View
Full
Document
 Fall '08
 Wilson
 Math, Calculus, Geometry

Click to edit the document details