00:01
Hi, i'm david and i'm here to help you and see your question.
00:03
Now let me bring up your question here.
00:06
In the question here we are given the differential equation on the form x square y power 3 plus the x times with the 1 plus the y square 10 with the y prime equal to the 0.
00:20
Notice done the y prime we can write this down as the d y over the d x and then we can rewrite this as a d x on the other side here.
00:29
There will be equal to the dx so we have this will be x square y power 3 d x and from here i will this one will be the m y and this will be the n x so from here we want to show that this equation is not exact in it to do it i have to do the m i will i should put the m and n so we have to find the m so, my, i will have to do the derivative of the x square y power 3 with respect to the y.
01:10
And this one will give us equal to the x square and then we have the three in front times in the y square.
01:19
And also we have to fight the n x.
01:23
So equal to the d over the d x of the form x1 plus the y square.
01:30
Square and it will do the drift to respect to the x we can equal to 1 plus the y square and we see that because the m y will not equal to the n x so therefore it's not exact and then the next one we will multiply by the interrating factor one over the xy power 3 so we will have the new form now will be here the x square y power 3 times when the xy power 3 and then the x plus the x times 1 plus the y square over the x time with the y power 3, the y equal to the 0...