Separation of VariablesSolutions to solved problems

Solution to solved problems

ckdxydy

kdxydy

kdxydyyk

dxdy

0 ckxyckxy

2 or 2

22

Guide

Solution to solved problems

22 1'1 ydxdy

xyyx

Guide

0

1

1

2

2

xdx

ydy

xdx

ydy

cxy

cx

dxdyy

1ln1

11

2 ycxy

cxy

1ln1

1ln1

11ln cxy

Pareho lang yan

Solution to solved problems

Guide

0

xdx

ydy

xdx

ydy

xy

dxdy

cxy

cxdx

ydy

lnln

cxycxy

cee cxy

lnln

Solution to solved problems

Guide

dxxdyy

xdxdy

y

2

2

1

1

cxyy

cdxxdyy

3

312

21

21

cxyy 32 236

Solution to solved problems

Guide

0sincos

cossin

dyyy

dxxx

cyx

cdyydxx

sinlncosln

cot tanxcy

cxy

ce yx

cossincossin

sinlncosln

Solution to solved problems

Guide

cydyyxdx

dyyy

xdx

tan sec

0costan

2

2

cyx

cyx

22

2212

21

tan

tan

Solutions to solved problems

Guide

cdyydxxx 2 ln

cy

xxx 1

2ln2 22