Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

In Exercises $1-10,$ find the general solution to the exact differential equation.$$\frac{d y}{d x}=\sin x-e^{-x}+8 x^{3}$$

$$y=-\cos x+e^{-x}+2 x^{4}+C$$

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 6

Differential Equations and Mathematical Modeling

Section 1

Slope Fields and Euler's Method

Differentiation

Integration Techniques

Differential Equations

Second-Order Differential Equations

Oregon State University

Harvey Mudd College

University of Nottingham

Boston College

Lectures

00:37

In Exercises $1-10,$ find …

01:49

01:02

00:44

00:31

00:40

00:46

01:15

04:45

In Exercises $1-10,$ solve…

07:49

00:53

$1-8$ " Solve the dif…

00:57

06:56

04:08

09:34

04:46

08:30

01:44

Solve the differential equ…

02:27

In Problems 3-8, determine…

02:06

this question asked us to find the general solution to the exact differential equation. What we know we have is d Y over DX. We're just gonna write D Y in the left hand side and then write the function on the right hand side. You have the DX on the right hand side now take the integral of both sides and we can differentiate or we can integrate. Why is negative coastline of acts? Because the integral sign is Kasan negative coastline minus negative. Eat the negative axe. Plus we can use the power rule increased the exported by one divide by the new exponents And then we can simplify this negative co sign acts plus each the negative acts negative negative is positive, plus two extra the fourth pussy.

View More Answers From This Book

Find Another Textbook

04:53

Rectangular Approximation Methods Prove or disprove the following statement:…

01:04

Writing to Learn The function$$f(x)=\left\{\begin{array}{ll}{x,} &am…

03:30

Polonium-21O The number of radioactive atoms remaining after $t$ days in a s…

02:36

Multiple Choice A sample of Ce-143 (an isotope of cerium) loses 99$\%$ of it…

03:35

Finding an Angle The trough in the figure is to be made tothe dimensions…

03:31

In Exercises $1-10,$ find the indefinite integral.$$\int x^{2} \cos x d …

03:59

(a) What annual rate of interest, compounded continuously for 100 years, wou…

02:01

Use the function values in the following table and the Trapezoidal Rule with…

In Exercises $1-20,$ find $d y / d x$.$$\int_{x^{2}}^{x^{3}} \cos (2 t) …

08:16

Oscillation Show that if $h>0,$ applying Newton's method to$$f(x…