   Chapter 8, Problem 66RE

Chapter
Section
Textbook Problem

Differential Equation In Exercises 65-68, find the general solution of the differential equation using any method. d y d x = 4 − x 2 2 x

To determine

To calculate: The general solution of the differential equation dydx=4x22x.

Explanation

Given:

The diierentialequation is dydx=4x22x.

Formula used:

cosecθdθ=ln|cosecθ+cotθ|

Calculation:

Since the differential equation is:

dydx=4x22x

Therefore,

dxdy=2x4x24x22xdx=dy

On Integrating both sides, we get that :

4x2dx2x=dy

Put x=2sinθ

On Differentiating both sides, we get that :

dx=2cosθdθ

Also,

4x2=44sin2θ=4(1sin2θ)=2

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

Factoring Factor the expression completely. 28. 12x2y4 3xy5 + 9x3y2

Precalculus: Mathematics for Calculus (Standalone Book)

In problems 15-22, simplify by combining like terms. 19.

Mathematical Applications for the Management, Life, and Social Sciences

Finding Intercepts In Exercises 19-28, find any intercepts. y=2x5x+1

Calculus: Early Transcendental Functions (MindTap Course List) 