   Chapter 12.5, Problem 30E ### 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. 30.   d y d x = x + 1 x y when  x = 1 ,   y = 3

To determine

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

Explanation

Given Information:

The provided differential equation is dydx=x+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,

dydx=x+1xy

Rearrange the equation as,

ydy=(1+1x)dx

Integrate both sides of the equation,

ydy=<

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