00:01
Hi, sheafo's equation df by d x is equal to omega, f of x is equal to integral omega dx plus a, then f of x can be written as 4 omega -not integral x by l minus x cube by l cube into dx plus a.
00:33
Now, f of x is equal to 4 omega not x square by 2l minus x raised to 4 divided by 4l plus a and m of x is equal to integral f of x dx.
00:57
This will be equal to 4 omega not x cubed divided by 6l minus x raised to 5 divided by 20 l cube plus a x plus b.
01:14
At x is equal to 0, m of x is equal to 0, then b will be equal to 0.
01:30
M of x is equal to 0 then we can write 0 is equal to 4 omega 0 l square by 6 minus l square by 20 plus a l.
01:51
Now we will get a as minus 7 by 15 omega not l.
02:01
So, m of x is equal to 2 omega 0x cubed divided by 3l minus omega not x raised to 5 divided by 5 l cube minus 7 by 15 omega 00 x that will be considered as equation number 1.
02:28
Now we know d square y by d x square x is equal to mx divided by e i.
02:43
So e i d square y by d x square is equal to 2 omega not x cubed divided by 3l minus omega not x raised to 5 divided by 3l minus omega not x raised to 5 divided by 5 l cube minus 7 by 15 omega not l x so we will get omega not x divided by 6 l minus omega not x raised to 4 divided by 6 l minus omega not x raised to 6 divided by 30 l cube minus 7 by 30 omega 30 omega 0 l x x square plus c at x is equal to l by 2, d y by d x is equal to 0.
03:45
So we will get c is equal to 93 divided by 1 ,920 omega not l cube.
03:59
So then we can write ei, divide ei, d x is equal to omega not x raised to 4 by 6 l minus omega not x raised to 6 divided by 30 l cube minus 7 omega not l x square divided by 30 plus 93 divided by 1 ,920 omega not l cube which will be equal...