[CosxTany+Cos(x+y)]dx+[SinxSec^2y+Cos(x+y)]dy

Hello, People!
Here is a video of Exact equation problem. Performing partial derivative of M and N, also integration as well under certain conditions. Please do watch the video till end to learn better.
My hearty thanks to all the subscribers, supporters, viewers and well-wishers❤.
With Love,
Chinnaiah Kalpana🍁
Note:
Let M(x,y)dx+N(x,y)dy=0 be a first order and first degree differential equation where M, N are real valued functions.
Working rule for solving an Exact differential equation:
1. Compare the given equation with Mdx+Ndy=0 and find out M and N.
2. Given equation will be exact if partial derivative of M w.r.t y = partial derivative of N w.r.t x.
3. Integrate M partially w.r.t x, treating y as constant.
4. Integrate only those terms of N, which do not contain x, w.r.t y.
5. Equate the sum of the results obtained from (3)&(4) to a constant to obtain required solution.
Therefore, the general solution of the given exact differential equation is
Result obtained from (3) + Result obtained from (4) = c.
For more such videos👇
• Differential Equations...
Stay tuned to 'Maths Pulse'.
Get rid of 'Maths Phobia'.
Have a happy learning!
#exactequation #mathspulse #chinnaiahkalpana #differentialequations #exactdifferentialequation #differentialcalculus #engineeringmathematics #bscmathsexactequation #polytechnicmathematics #maths #math #mathematics #calculus