What am I doing wrong?
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.)
(tanx − sinxsiny)dx + cosxcosy dy = 0
My work:
pM/py= tan x-sinxsiny=-sinxcosy
pM/py=cosxcosy=-cosysinx
Therefore this is exact.
Solve.
f(x,y)=integral of (tanx-sinxsiny)dx+g(y)
f(x,y)=cosxsiny-ln(cosx)+c_1+g(y)
cosxsiny-ln(cosx)+c_1=c_2
Final Answer: cos(x)sin(y)-ln(cos(x))=C
But my answer is wrong and I don't know why.

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.