How do you sketch a slope field for #dy/dx = (x + 1)^2/y#?

1 Answer
Apr 23, 2018

The slope field is pretty much a bunch of lines that represent the slopes of the solution points. For instance, if we have the point #(0, 2)# is a solution to the differential equation above, you should find that the slope on the field should be #(0 + 1)^2/2 = 1/2#,

Here is the slope field for the given differential equation. The black curve would be one particular solution to the equation. A solution is given by following the slopes.

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Hopefully this helps!