(1+e^x/y)dx+e^x/y(1-x/y)dy=0 #ExactEquation #differentialequations

(1+e^x/y)dx+e^x/y(1-x/y)dy=0 #ExactEquation #differentialequations

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. math study with pradum 1+e^x/y)dx+e^x/y(1-x/y)dy=0 #ExactEquation #differentialequations Note: #mathstudywithpradum 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. exact differential equations Working rule for solving an Exact differential equation: (1+e^x/y)dx+e^x/y(1-x/y)dy=0 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. hello friends welcome to my YouTube channel aaj ke video hum ek important question solve karege jo exam me khafi bar puchha ja chuka h this is very important questions for all universities students and all B.sc mathematics students subscribe to our channel to watch videos like this Important questions of B.sc maths are solved on our channel Today's question is very important, it has been asked many times in the exam. #mathstudywithpradum math study with Pradum (e^y+1)cosx dx+e^ysin xdy=0 #(e^y+1)cosx dx+e^ysin xdy=0 (e^y+1)cosxdx=e^ysinxdy #exactequation #mathspulse #chinnaiahkalpana #differentialequations #exactdifferentialequation #differentialcalculus #engineeringmathematics #bscmathsexactequation #polytechnicmathematics #maths #math #mathematics #calculus