http://www.ck12.org Chapter 7. Integration Techniques
Anisocline(for constantk) is the line along which the solution curves have the same gradient(k). By calculating
this gradient for each isocline, the slope field can be visualized; making it relatively easy to sketch approxi- mate
solution curves. For example,dydx=xy. The isoclines arey=xk.
Example 1Considerdydx=yx 2. We briefly sketch the slope field as above.
The solutions arey^3 =^32 x^2 +C.