I have the following problem
Let dy/dx =|x|
Let y=g(x) the particular solution that verifies g(-1)=7/2, that calls integrate g(x) dx from -2 to 2, the problem is I have no idea how to enter in the program, Can somebody help me?
Dear Luis,
I am not sure whether this is what you need.
sols = DSolve[{y'[x] == Piecewise[{{-x, x < 0}, {x, x >= 0}}], y[-1] == 7/2}, y[x], x]
Note, that the use of Piecewise, which works better than Abs here. You can then plot
Plot[y[x] /. sols, {x, -10, 10}]
Then you can integrate
Integrate[y[x] /. sols, {x, -2, 2}]
Cheers,
M.
Many thanks Marco, today I learned more of Mathematica, I can solve in paper, but I do not know in Mathematica,. Thanks to you I learned