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Solve the differential equation.$ \frac {dy}{dx} = 3x^2y^2 $

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Calculus 2 / BC

Chapter 9

Differential Equations

Section 3

Separable Equations

Missouri State University

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

13:37

A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. An ordinary differential equation (ODE) is a differential equation containing one or more derivatives of a function and their rates of change with respect to the function itself; it can be used to model a wide variety of phenomena. Differential equations can be used to describe many phenomena in physics, including sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, quantum mechanics, and general relativity.

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this question asked us to solve the differential equation three. X squared y squared Not what we know is that if this is r d y o ver de axe than r D y over, why squared is three x squared DX. This allows us to get the X is on the same side and the wise on the same side. No, let's take the integral. The integral of this is negative one over. Why be integral off this increased exports by one divide by the new exponents is execute. Don't forget our constant of integration plus C now lastly to right this just in terms of why we get wise negative one divided by X cubed plus sissy

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