00:01
Hi everyone, welcome to this video.
00:03
So, here we are given with the differential equation, we have to find the general solution.
00:10
Now, according to this equation, this can be written as m of x comma y dx plus n x comma y dy equal to 0.
00:27
Now, since the equation is in this way, whether it is exact or not, we will find it through solving.
00:40
Now, let us take m is equal to 3 x square y plus e power y.
00:50
So, here dou m by dou y will be equal to, differentiating with respect to y, we get 3 x square plus e y and let us take n is equal to x cube plus x e power y minus 2 y.
01:13
So, dou n by dou x will be 3 x square plus e y.
01:22
Now, considering this two, we have dou m by dou y is equal to dou n by dou x.
01:34
So, here the equation is exact...