Chapter 6.1, Problem 46E

### 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 In Exercises 43-52, use integration to find a general solution of the differential equation. d y d x = e x 4 + e x

To determine

To calculate: The expression for the general solution of the differential equation given as, dydx=ex4+ex.

Explanation

Given:

The differential equation is: dydx=ex4+ex.

Formula used:

The general logarithmic formula of integration is:

1xdx=ln|x|+C

Calculation:

Consider the differential equation given as,

dydx=ex4+exdy=(ex4+ex)dx

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

y=(

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