Help needed
$$\tan(x)=\frac{dy}{dx}(1- y \cos x)$$
General solution required.......

Question

Help needed
$$\tan(x)=\frac{dy}{dx}(1- y \cos x)$$
General solution required.......

mani_jha · Answer

Which variable you need to find? x or y or dy/dx?

anonymous · Answer

Eliminate dy/dx

mani_jha · Answer

tan(x) dx=dy-ydycosx
I think we can try to integrate this, to eliminate dy/dx

anonymous · Answer

Are you sure this is the equation?

anonymous · Answer

Damm sure

anonymous · Answer

tan(x) = y'(x) - y'(x)*y(x)*cos(x)

y'(x)*y(x)*cos(x)  <--- Presence of y'(x) makes it tricky

anonymous · Answer

@Mr.Math Can you solve it?

anonymous · Answer

obligatory post. . lol, so that i will be informed if someone posted an answer. . lol

mr.math · Answer

I'm not getting anything so far, Ishaan. But I will keep trying.

anonymous · Answer

Okay Mr.Math.

@FoolForMath Maybe you wanna do it...

anonymous · Answer

This is differential equation, referred to  @lalaly :P

mr.math · Answer

I think this is the type of DE's that @JamesJ likes.

jamesj · Answer

This is very non-standard.  However, there are lots of people in the world who spend a lot more time with non-standard ODEs than I do.  If I were you, I'd post a question on 
math.stackexhange.com

I'd also second Ishaan.  Double check this equation.  It's almost suspiciously non-standard.

mr.math · Answer

I agree, it's very non-standard. Lets see if @Zarkon has an idea.