   Chapter 6.1, Problem 45E

Chapter
Section
Textbook Problem

Finding a General Solution In Exercises 43-52, use integration to find a general solution of the differential equation. d y d x = x 1 + x 2

To determine

To calculate: The expression for the general solution of the differential equation given as, dydx=x1+x2.

Explanation

Given:

The differential equation is: dydx=x1+x2.

Formula used:

The general logarithmic formula of integration is:

1xdx=ln|x|+C

Calculation:

Consider the given differential equation,

dydx=x1+x2dy=(x1+x2)dx

Integrate both the left hand as well as the right-hand side as,

y=(x1+x2

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