Chapter 6.3, Problem 5E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding a General Solution Using Separation of Variables In Exercises 5-18, find the general solution of the differential equation. d y d x = x y

To determine

To calculate: The general solution of the differential equation, dydx=xy.

Explanation

Given:

The differential equation is dydx=xy.

Formula used:

Integration of a function xn with respect to x is given as, âˆ«xndx=xn+1n+1+C where, n is a constant value and x is a variable.

Calculation:

Consider the differential equation,

dydx=xy

It can be represented as,

ydy=xdx

This differential equation is of variable separable form given by,

f

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