We have a differential equation y + p(x)y' +q(x)y = F(x) with general solution y =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
We have a differential equation y" + p(x)y' +q(x)y = F(x) with general solution y = y₁ + y2 + Yp Ур y₁ and y2 are linearly independent solutions to the homogeneous equation and a particular solution to the inhomogeneous equation. Assume here that Y1 and Y2₂ include the arbitrary constants. Show that one form for Yp is given by Y₁(x) F(x) dx W(x) Yp = y2 S where W(x) is the Wronskian: Y1 dx [ 192 (x) F(x) dr. I W(x) = y₁92 - ₁92. is We have a differential equation y" + p(x)y' +q(x)y = F(x) with general solution y = y₁ + y2 + Yp Ур y₁ and y2 are linearly independent solutions to the homogeneous equation and a particular solution to the inhomogeneous equation. Assume here that Y1 and Y2₂ include the arbitrary constants. Show that one form for Yp is given by Y₁(x) F(x) dx W(x) Yp = y2 S where W(x) is the Wronskian: Y1 dx [ 192 (x) F(x) dr. I W(x) = y₁92 - ₁92. is
Expert Answer:
Answer rating: 100% (QA)
Given differential equation is ypxyqxyFx 0 the complementary solution to i is ... View the full answer
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Posted Date:
Students also viewed these accounting questions
-
Show that if u and v are linearly independent vectors, then so are u + v and u - v.
-
The demand for sunglasses is given by equation Qd = 1000 - 4P, where P denotes the market price. The supply of sunglasses is given by equation Qs = 100 + 6P. Fill in the following table and find the...
-
Assume that the demand curve for milk is given by Q = 100 - 10 P , where P is the price per gallon and Q is the quantity demanded per year. The supply curve is horizontal at a price of 2. a. Assuming...
-
All else equal, a large sell off in the equity markets (decline in the S&P 500 and the Dow Jones Industrial Average) would be the most likely result from the reporting of a much higher than expected...
-
Dove Golf Co. prepaid three years rent ($18,000) on January 1, 2012. At December 31, 2012, Dove prepared a trial balance and then made the necessary adjusting entry at the end of the year. Dove...
-
Why does the Sun look reddish at sunrise and sunset but not at noon?
-
PWC Corp. accounting records include the following items, listed in no particular order, at December 31, 2008 : Prepare PWC's income statement for the year ended December 31, 2008. Omit earnings per...
-
Rx Corp wants to acquire all the stock of Vit B corp. Vit B is wholly owned by Honey, an individual shareholder who has owned the stock for 5 years. Honey's basis in Vit B is $75. Vit B's assets are...
-
XYZ Chocolates manufactures and distributes chocolate products. It purchases cocoa beans and processes them into two intermediate products: Chocolate powder liquor base Milk chocolate liquor base...
-
If the a company has a market value of debt of 5 million pound and a market value of equity of 15 million pounds what's is the weight of debt for wacc calculation purpose?
-
In the combustion of propane gas,C 3 H 8 , what volume of carbon dioxide gas isproduced when a 20.0 lbs. (9.1 kg) tank is completely consumed at26.0 C and 1.0 atm ofpressure?
-
On January 1, 2024, the Highlands Company began construction on a new manufacturing facility for its own use. The building was completed in 2025. The company borrowed $2,150,000 at 9% on January 1 to...
-
How marketing performance will be measured against marketing objectives, including a description of the marketing metrics that can be used and rationale for this specific approach to reviewing...
-
Yak Yak Company is developing a new mbile phone. Fuji, for its communications products line. The company requires a 2 5 % profit. Fujis current design carries with it a total cost of $ 7 0 0 . What...
-
The Park Company owns 8 0 % of the outstanding common stock of the Sea Company. Park is about to lease a machine with a 5 - year life to the Sea Company. The lease would begin January 1 , 2 0 X 3 ....
-
At December 31, 2020, Flounder Corporation owes $506,600 on a note payable due February 15, 2021. (a) If Flounder had restructured the note on December 15, 2020, such that Flounder has the...
-
You have $3,000 to invest. You lose -16% (-$480 loss) when stock market goes down -4%. What is the Margin rate in this market? You are a bond trader, and there has been a power failure in New York...
-
Draw and label the E and Z isomers for each of the following compounds: 1. CH3CH2CH==CHCH3 2. 3. 4. CH,CH2C CHCH2CH Cl CH3CH2CH2CH2 CH CH2CCCH2CI CHCH3 CH3 HOCH CH CCC CH O-CH C(CH
-
In problem use the procedures developed in this chapter to find the general solution of each differential equation. y'' - 2y' + 2y = e x tan x
-
In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity differ by an integer. Use the method of Frobenius to obtain at least...
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1 s - 3 V3)(s + V3)
-
Describe how to determine the \(x\) component of the position of an object at a specific instant, given (a) a graph of position \(x\) as a function of time \(t\) and (b) an equation for \(x(t)\).
-
In an \(x(t)\) curve, what is the significance of a steep slope as opposed to a gentle slope? What is the significance of a curve that slopes downward as you move from left to right along the time...
-
The \(x\) component of a car's velocity increases from 0 to \(+5.0 \mathrm{~m} / \mathrm{s}\) in \(1.0 \mathrm{~s}\), and then from \(+5.0 \mathrm{~m} / \mathrm{s}\) to \(+10 \mathrm{~m} /...
Study smarter with the SolutionInn App