Pre-Calc Homework Solutions 235

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

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

View Full Document Right Arrow Icon
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

Ask a homework question - tutors are online