Pre-Calc Homework Solutions 235

# Pre-Calc Homework Solutions 235 - Section 6.1 dy dx dy dx...

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: Section 6.1 dy dx dy dx dx d 2y d 2 d 2y d d 2 dy d 235 32. cos x (cos x sin x sin x sin x) dx cos x C 35. sin sin cos d C1 0 y Initial condition: y( ) 1 1 sin cos C 1 1 C 0 C Solution: y sin x cos x 33. dy dt dy dt dt Initial condition: y (0) 0 0 1 cos 0 1 C1 dy d C1 C1 2e 2e t t dt t First derivative: C 0 y dy d d cos 1) d C2 3 1 y 2e ( cos sin Initial condition: y(ln 2) 0 0 1 C 2e 1 x 1 dx x t 2e 2 2 ln 2 C Initial condition: y(0) 3 3 1 sin 0 C2 sin 2 (2 2x 6x 6x) dx 3x 2 C1 4 0 C2 C Solution: y 34. dy dx dy dx dx Solution: y 36. d 2y dx dx 2 2 d y dx dx 2 dy dx 3 y ln x C Initial condition: y(e 3) 0 0 ln (e 3) C 0 3 C 3 C Solution: y ln x 3 Initial condition: y (0) 4 4 2(0) C1 dy dx 3(0)2 C1 First derivative: dy dx dx 2x 3x 2 4) dx 4 (2x x3 4x 3x 2 C2 y x2 Initial condition: y(0) 1 1 02 C2 x2 x2 x3 4x 03 4(0) 1 C2 Solution: y or y x3 4x 1 1 ...
View Full Document

## This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online