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7-157.

graphSolve for if . Homework Help ✎

Then use the slope field for at right to help graph a family of solution functions (place your paper over the slope field and use the tangents as guides).

By tracing a series of slopes, you should predict that the original function is cubic.

Separate the variables so that x-values are on one side of the equal sign and -values are on the other side.

Integrate both sides of the equation.

Solve for . Did you get a cubic function, as predicted?
Note: , or just .