00:01
In this question, given that y -dash is equal to y minus 3x, y1 is equal to 0, and h is equal to 0 .5.
00:15
And we have to find out the value of y1, y2, y3 and y4.
00:26
So now i started with the solution.
00:30
Now fxy is equal to minus 3xx.
00:37
Plus y where x not is equal to 1 y0 is equal to 0 and h is equal to 0 .5 by uller's method y n plus 1 is equal to y n plus h f x n y n now y 1 is equal to y not plus h f x not y not so this value is equal to 0 0 0.
01:14
So this value is equal to 0.
01:16
0 plus 0 .5 f 1 and 0 so this value is equal to 0 .5 and this is minus 3 multiplied with 1 plus 0.
01:32
So this value is equal to 0 .5 and this is minus 3 so this value is equal to minus 1 .5 x1 is equal to x0 plus h so this value is equal to 1 plus 0 .5 this value is equal to 1 .5 so now y2 is equal to y1 plus h f x1 y1 now this value is equal to minus 1 .5 plus 0 .5 f and this is 1 .5 and minus 1 .5.
02:16
So this value is equal to minus 1 .5 plus 0 .5.
02:23
This function is equal to minus 3, 1 .5 minus 1 .5.
02:30
When we solve these terms, so this value is equal to minus 1 .5 plus 0 .5 and this is minus 6.
02:39
So this value is equal to minus 1 .5 minus 3.
02:45
So this value is equal to minus 4 .5.
02:48
This is the value of y2.
02:52
Now for y3, so x2 is equal to x1 plus h, so this value is equal to 1 .5 plus 0 .5, so this value is equal to 2...