Question: Show that y = x x1 is a solution of the differential equation xy` + y = 2x.

Show that y = x – x–1 is a solution of the differential equation xy` + y = 2x.

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

1 y x x y 1x2 To show that y is a solution of the dif... 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

M-C-D-E (1).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

A Critically Damped Spring The solution of the differential equation for a critically damped vibration has the from x(t) = (c1 + qt)ert with both c1 and c2 nonzero? (a) Show that x(t) is zero at most...

Q:

Find the series solution of the differential equation 2x 2 (d 2 y/dx 2 ) + (x 2 -x) (dy/dx) + y = 0

Q:

Show that E xs = Ae j(k0z+Ï) is a solution of the vector Helmholtz equation, Eq. (30), for k 0 = Ïμ 0 0 and any Ï and A. dExs = -k,Es. dz?

Q:

Show that y = x x1 is a solution to the initial-value problem xy'+ y =2x, y(1)=0.Since y'=1+1x2, we havexy' + y=x

Q:

Problem solving 1. Write the differential equation e" y' + e" y = sin x in standard form. 2. Write the differential equation (xy + 3) dx + (2x - y' + 1) dy = 0 3. Determine if the following...

Q:

E Test: Chapter 5 Test Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 I? Find the anlidelivative utthe given derivative do (X +...

Q:

1. Answer the following questions about asymptotic equality. (a) Use asymptotic equality to compute the limit (3x2 + 1) In(2) lim 1-+00 (2x + 1)2 In (5x + 3) Explicitly state the asymptotic...

Q:

please answer all the questions correctly. 1) Which of the following is the solution to the differential equation y ' = (x + 1)() + 2) for y > -2, with the initial condition y(0) = 4? O +X 2 y = 60...

Q:

swered Question 1 29.3 / 33.3 pts Consider the differential equation dr dy = 3x + y. a) On the axes provided, sketch a slope field for the given differential equation at the 12 points indicated, and...

Q:

1. Find the partial derivative (a) wrt x and (b) wrty 1. x2 + 5xy -y3 = 0 2. x2y4 - 3xy2 + 5y=7 3. y sin x + x2tan y - xy* = 0 II. Determine the homogeneity of a given function. 1. f(x,y) = 4x2 -3xy...

Q:

Using the following information, compute the cash balance. Restricted deposits in foreign bank accounts . . . . . . . . . . . . . . . . . $ 5,200 Cash overdraft . . . . . . . . . . . . . . . . . . ....

Q:

A small object with electric dipole moment p is placed in a non-uniform electric field E = E(x)i. That is, the field is in the x direction and its magnitude depends on the coordinate x. Let represent...

Q:

P1-30B Global cost-benefit analysis (Learning Objective 5) Due to rising labor costs in China, Superior Garment, based in Singapore, is considering shifting part of its production facilities from...

Q:

A square silicon chip (k = 150 W/m. K) is of width w = 5 mm on a side and of thickness t = 1 mm. The chip is mounted in a substrate such that its side and back surfaces are insulated, while the front...

Q:

Consider the transmission case of Problem 1.23, but now allow for radiation exchange with the ground chassis, which may be approximated as large surroundings at Tsur = 30C. If the emissivity of the...

Q:

A negative charge -0.550C exerts an upward 0.200-N force on an unknown charge 0.300 m directly below it. (a) What is the unknown charge (magnitude and sign)? (b) What are the magnitude and direction...

Q:

Pyridoxal phosphate, a close relative of vitamin B6, is involved in a large number of metabolic reactions. Tell the hydribization, and predict the bond angles for each non-terminalatom. . Pyridoxal...

Q:

Point charges q1 = -4.5 nC and q2 = +4.5 nC are separated by 3.1 mm, forming an electric dipole. (a) Find the electric dipole moment (magnitude and direction). (b) The charges are in a uniform...

Q:

Determine the unbalanced force acting on an iron ball (r = 1.5 cm, = 7.8 g/cm 3 ) when just released while totally immersed in (a) Water and (b) Mercury ( = 13.6 g/cm 3 ). What will be the initial...

Q:

Astronomers infer the radiant exitance (radiant flux emitted per unit area) of stars using the Stefan Boltzmann Law: E(T) (5.67 10 8 )T 4 where E is the energy radiated per unit of surface area...

Q:

Find a formula for the inverse of the function. h(x) = 6 3/5 + 7

Q:

The power output of a wind turbine depends on many factors. It can be shown using physical principles that the power P generated by a wind turbine is modeled by P kAv 3 where v is the wind speed, A...

Q:

Objective: Demonstrate the Central Limit Theorem (CLT) through simulation and random sampling. Background: If a random variable X follows a discrete uniform distribution between a and 1), its mean...

Q:

QUESTION 1 One year ago, you purchased 300 shares of Southern Cotton at $32.60 a share. During the past year, you received a total of $280 in dividends. Today, you sold your shares for $35.80 a...

Q:

The following data are the returns for 1980 through 1986 on five types of capital-market instruments: common stocks, small-capitilzation stocks, long-term corporate bonds, long-term U.S. government...