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This question already has an answer here:

How would I solve this problem?

Plot a direction field for the differential equation dy/dx=sin(x^2+y^2)log(|x+y|) when -1< x, y< 1

Intervals of the plot must be all the same length and the grid is 20x20


I am brand new to mathematica so forgive me if this is easily done but I have been researching how to solve this problem for the last couple hours and have not been successful. Any help is appreciated!

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marked as duplicate by zhk, Coolwater, Henrik Schumacher, LCarvalho, Sektor Dec 1 '17 at 22:17

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You can do with VectorPlot and with StreamPlot.

f[x_, y_] := Sin[x^2 + y^2]*Log[Abs[x + y]];

VectorPlot[{1, f[x, y]}, {x, 0, 2}, {y, 0, 2}]

enter image description here

StreamPlot[{1, f[x, y]}, {x, 0, 2}, {y, 0, 2}]

enter image description here

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