Question

Find the general soln for xcos^2y+tany(dy/dx)=0
The answer key give x^2 + sec^2y=C

Answer 1

put in the form y'+p(x)y=q(x) can we do that lets see...

Answer 2

nope we have tan(y) :(

Answer 3

can we use separation of variables lets find out..

Answer 4

what if we solve for dy/dx and integrate?

Answer 5

we have xdx=-tany/cos^2y dy
YES!

Answer 6

integrate both sides

Answer 7

awwwwyeahhh

Answer 8

Integrating the right side is the problem for me

Answer 9

ok mrs tucker this is messey theres fixingto be a tornado i have to go here in a bit

Answer 10

that sec^2y is suppose to have a 2 under it

Answer 11

i forgot to rewrite it sorry

Answer 12

theres the correction on that new scan

Answer 13

This looks great. Thanks!