### Home > CALC > Chapter 7 > Lesson 7.3.4 > Problem 7-147

7-147.

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 *y*-values are on the other side.

Integrate both sides of the equation.

Solve for *y*... Did you get a cubic function, as predicted?

Note: *C*_{1} + *C*_{2} = *C*_{3}, or just *C*.

2*dy* = *x*^{2}*dx*