00:01
Hello, here we have a given that is y is equal to 8 multiplied by e to the power 3x plus b multiplied by e to the power x.
00:09
Now differentiating both sides with respect to x.
00:12
So we have dy divided by dx that is equal to 3a multiplied by e to the power 3x plus b e to the power x.
00:22
Now from here, this can be written as that is in place of this we have this is 3a multiplied by e to the power 3x.
00:30
Now from here, we can write it as dy divided by dx that is equal to 2 times of a multiplied by e to the power 3x plus of and now from here we have a e to the power 3x plus b e to the power x.
00:51
So this can be written as 2 plus a 2 a e to the power 3x and a plus e to the power 3x this is equal to 3a e to the power 3x.
00:59
Now from here, we can say this is equal to y.
01:02
So we can write that dy divided by dx that is equal to 2a e to the power 3x plus y now shifting y into the left side.
01:11
So we can write that dy divided by dx minus of y is equal to 2a e to the power 3a.
01:17
Now again solving taking e to the power 3x into the left side...