00:01
In this question, given that d minus 2 whole cube y is equal to e to the part 2x multiplied with x, and we have to find out the general solution.
00:25
So now according to the question, complementary solution, auxiliary equation is equal to m minus 2 whole cube is equal to 0, that is m is equal to 2, 2.
00:54
2 to 2.
00:57
So, y is equal to yc is equal to because complementary solution, yc is equal to c1, a to the part 2x plus c2 x, a to the part 2x plus c3 x square, e to the part 2x.
01:16
Now for particular solution, yp is equal to 1 divided by d minus 2 whole cube, a to the part 2x multiplied with x.
01:46
Substitute d by d plus 2, then e to the part 2x and this is 1 divided by d plus 2 minus 2 whole cube and x.
01:59
So this value is equal to e to the part 2x.
02:02
2 2 is cancelled out so this is only 1 divided by d cube and this is x.
02:08
Triple integration of x so this value is equal to e to the part 2x.
02:13
1 divided 2x.
02:14
1 divided 2...