   Chapter 12.5, Problem 34E ### 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 29-36, find the particular solution to each differential equation. 34.   y ' 1 x y  when  x = 1 ,   y = 3

To determine

To calculate: The particular solution to the differential equation y=1xy when x=1,y=3.

Explanation

Given Information:

The provided differential equation is y=1xy and the values are x=1,y=3.

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.

The logarithmic formula of integration is 1xdx=ln|x|+C.

Calculation:

Consider the differential equation,

y=1xy

Rearrange the equation as,

dydx=1xyydy=1xdx

Integrate both sides of the equation,

### 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 