Question: In problems, solve each differential equation (a) dy/dx + y = e-x (b) (x+1) dy/dx + y = x2 -1 (c) (1-x2) dy/dx + xy

In problems, solve each differential equation
(a) dy/dx + y = e-x
(b) (x+1) dy/dx + y = x2 -1
(c) (1-x2) dy/dx + xy = ax, |x| < 1

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Integrating factor is e x Dye x 1 y e x x C b ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (2245).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

In Problems 1-3, solve each differential equation? 1. d2y / dx2 + 3 dy / dx = ex Suggestion: Let u = dy / dx. 2. y" - y = 0 3. y" - 3y' + 2y = 0, y = 0, y' = 3 when x = 0

Q:

In Problems 1-3, solve each differential equation? 1. Y" - 5y' + 6y = 0 2. Y" + 5y' - 6y = 0 3. Y" + 6y' - 7y = 0; y = 0, y' = 4 at x = 0

Q:

In Problems 1-3, solve each differential equation by variation of parameters? 1. Y" - 3y' + 2y = 5x + 2 2. Y" - 4y = e2x 3. Y" + y = cse x cot x

Q:

In Problems a-c, solve the differential equation subject to the indicated condition. a. dy/dx = sin s; y = 2 at x = 0 b. dy/dx =1/x + 1; y = 18 at x = 3 c. dy/dx = csc y; y = at x = 0

Q:

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Q:

3 Systems of differential equations In Sections 3.8-3.10 we will reduce the problern of finding all solutions of (1) to the much simpler algebraic problern of solving simultaneous linear equations of...

Q:

Q1) Solve the differential equation (y^(13) x )(dy)/(dx) = 1 + x. use the initial condition y(1)=3 , express y^14 in terms of x Q2) find the function y=y(x) for x>0 (dy)/(dx) = (2 + 12 x)/(xy^2) x >...

Q:

Solve the following differential equations: a). dy/dx + 4xy = xy^3 b). 4x^2y" + 4xy' -y =0 c). x^2y" +3xy' + y =0 d). y^(1/2) dy/dx + y^(3/2)=1 e). y'=-(1/x)y^2 + (2/x)y f). x^2 y"+7xy' +9y=0 g). x...

Q:

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Q:

Can you please help me with number 12 and number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.6 Problems Find...

Q:

For the circuit shown below the voltage gain Avd 08 O-6 06 O-8 6 kn 2 kn 4kQ www = Vo (11-1) is

Q:

What does the Lululemon Argus stock report, write as the most significant risks for Lululemon? Question options: a. Larger retailers; decline in popularity of yoga; unproven new CEO b. Higher...

Q:

The Bradford Company has total fixed costs of $ 4 2 0 , 0 0 0 . It also has $ 2 3 0 , 0 0 0 in total variable costs. These costs exist at a production level of 1 4 0 , 0 0 0 units. The fixed cost per...

Q:

Would you go into a franchise in China after reading the Entrepreneurship in practice box, The pros and cons of franchising in China?

Q:

(a) Find a positive continuous function f such that the area under the graph of f from 0 to t is A(t) = t2 for all t > 0. (b) A solid is generated by rotating about the -axis the region under the...

Q:

A clepsydra, or water clock, is a glass container with a small hole in the bottom through which water can flow. The "clock" is calibrated for measuring time by placing markings on the container...

Q:

A clepsydra, or water clock, is a glass container with a small hole in the bottom through which water can flow. The "clock" is calibrated for measuring time by placing markings on the container...

Q:

You Want to sell your house. Comparable houses in the neighborhood have sold in a range from $220,000 to $260,000. You think that the market value for your house is $250,000 and you put an add on...

Q:

Sheridan Company manufactures and sells two products. Relevant per-unit data concerning each product follow: Product Basic Deluxe Selling price $40.00 $52.00 Variable costs $18.00 $27.50 Machine...

Q:

The net preseat value (NPV) method estimates how much a potential project will contribute to the more value the project adds; and added value means a stock price. In equation form, the NPV is defined...