2.2 Separable Equations

2.2 Separable Equations - First-Order Equations: Separable...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 First-Order Equations: Separable Equations- Problem Set 1. 2 cos 12 dy y x dx y ± , (0) 1 y 2 cos dy y x dx y ± ² 2 () c o s y dy xdx y ± ² 1 (2 ) c o s ydy xdx y ± ³³ ² 2 ln sin yy xC ± ± Using the initial value, 2 ln 1 (1) sin(0) C ± ² 010 C ± ± ² 1 C 2 ln sin 1 x ± 2. 34 xx dy e e dx y ´ ´ ± , (0) 1 y dy e e dx y ´ ´ ± ² (3 4 ) ( ) e e dx ´ ´ ² (3 4 ) ( ) e ´ ´ ³ ³ ² 2 32 e e C ´ ± ´ ´ ± Using the initial value, 32 11 C ´´± ² 7 C 2 7 ee ´ ´ ´ ± 3. 2cos2 dy x dx y ± , (0) 1 y ´ dy x dx y ± ² (3 2 ) (2cos 2 ) ² (3 2 ) (2cos 2 ) ³ ³ ² 2 3s i n 2 ± ± Using the initial value, 31 0 C ´± ± ² 2 C ´ 2 i n 2 2 x ´ 4. 2 3 (1 ) 4 dy x x dx y ± , 1 (0) 2 y ´
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 2 3 (1 ) 4 dy x x dx y ± ² 32 4( 1 ) ydy xx dx ± ² 1 ) ydy xx ± ³ ³ ² 42 4 yC ±± Using the initial value, 1 00 4 C ² 1 4 C ² 4 1 4 y
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

2.2 Separable Equations - First-Order Equations: Separable...

This preview shows document pages 1 - 2. Sign up to view the full document.

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