Plotting with NDSolve Dividing by the Solution

Asked Apr 15 '18 at 21:43

Active Apr 18 '18 at 20:33

Viewed 19 times

Why do we have to divide by the solution when plotting the results from NDsolve?

For example, given

ode1 = {y''[x] + Sin[y[x]] == 0, y[0] == 2, y'[0] == 1};
sol = NDSolve[ode1, y, {x, -10, 10}]

Then the following plots the solution.

Plot[y[x] /. sol, {x, -10, 10}]

Why must we include /.sol? What are we actually dividing by?

edited Apr 18 '18 at 20:33

m0nhawk

asked Apr 15 '18 at 21:43

Dr. Dilly

1

See ReplaceAll – dearN Apr 15 '18 at 22:37
See also http://reference.wolfram.com/language/tutorial/ApplyingTransformationRules.html – Michael E2 Apr 15 '18 at 22:47
And finally, see https://mathematica.stackexchange.com/questions/18393/what-are-the-most-common-pitfalls-awaiting-new-users/18706#18706 – Michael E2 Apr 15 '18 at 22:48

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