   Chapter 12.5, Problem 16E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 15-28, find the general solution to the given differential equation. 16.   y 3 d x = d y x 3

To determine

To calculate: The general solution to the differential equation y3dx=dyx3.

Explanation

Given Information:

The provided differential equation is:

y3dx=dyx3

Formula used:

Solution of the differential equation g(y)dy=f(x)dx is g(y)dy=f(x)dx.

The power of x formula of integration is xndx=xn+1n+1+C, where n1.

Calculation:

Consider the differential equation, y3dx=dyx3

Rearrange the equation as,

x3dx=1y3dyx3dx=y3dy

Integrate both sides of the equation,

x3dx=y

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find for x = 3t2 + 1, y = t6 + 6t5. t4 + 5t3 4t3 + 15t2

Study Guide for Stewart's Multivariable Calculus, 8th

#### By determining the limit of Riemann sums, the exact value of dx is a) 7 b) 9 c) d) 18

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Define fraud and explain the safeguards that exist to prevent it.

Research Methods for the Behavioral Sciences (MindTap Course List) 