Quiz: Pre-test: differential equations [Notions of Transport Phenomena]

Pre-test: differential equations

Use direct integration to solve the differential equation:

\frac{dy}{dx} = x^{2}

Integrating both sides of the differential equation with respect to x gives.

y = \int x^{2} dx

Doing the integration, we obtain the general solution.

y = \frac{1}{3} x^{3} + C

Where C is an arbitrary constant.