Question
100%

If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?

I have been working questions that provide possible solutions and I need to determine if they are solutions to the differential equation, but what about starting with the differential equation itself and finding a solution. Is it possible?

If so, can you provide one example that starts with the given differential equation, y''-4y'+4y=et, and arrives at a solution?

If not, can you explain why not?

Expert Solution
Check Mark
Blurred answer
Students who’ve seen this question also like:
Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
Not helpful? See similar books
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Functions And Models. 1RCC
marketing sidebar icon
Your question is solved by a Subject Matter Expert
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Get 24/7 homework help!
8+ million solutions
Get access to millions of step-by-step textbook and homework solutions
Support from experts
Send experts your homework questions or start a chat with a tutor
Essay support
Check for plagiarism and create citations in seconds
Solve math equations
Get instant explanations to difficult math equations
Students love us.
Students love us.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

A: Click to see the answer

Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

A: Given that : y' = 49y2. This is a differential equation and we find solution of this differential…

Q: The equation y" + y'- 2y = x² is called a differential equation because it involves an unknown…

A: Click to see the answer

Q: find the solution of differential equation y3 y' +-y = x2

A: Click to see the answer

Q: The solution of the differential equation y-=y is Select the correct answer.

A: Click to see the answer

Q: The independent variable x is missing in the given differential equation. Proceed as in Example 2…

A: Given:y+8yιι =yι2   →1Let yι =u →Ad2ydx2=dydxd2ydx2=dudy=dydxd2ydx2= ududy →Busing Aand B in 1we…

Q: In this problem, we will solve the initial value inhomogeneous differential equation in two steps.…

A: Click to see the answer

Q: When solving a second order differential equation, and the characteristic equation has complex…

A: Click to see the answer

Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

A: Click to see the answer

Q: Solve (first order linear differential equation): y'-3x2y=ex^3

A: Click to see the answer

Q: find the general solution of the given higher-order differential equation

A: To find -  Find the general solution of the given higher-order differential equation y4 + y''' +…

Q: 3. The differential equation = 8 – 2y can be solved using the method of separation of variables or…

A: solve using separation of variable dydt=8-2y dydt=-2y+8 dydt=-2y-4 dyy-4=-2dt take integration…

Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: If the general solution of the differential equation having 7 arbitrary constants, then the order of…

A: Explained below

Q: If the equation y = Aln(x) +2B x+Cx is a general solution equation (G.S), then the differential…

A: we have to solve given problem:

Q: Without solving for the undetermined coefficients, the correct form of a particular solution of the…

A: Click to see the answer

Q: or the general solution of the below differential equation

A: Click to see the answer

Q: find the solution of differential equation 2 y3 y' +- y

A: Click to see the answer

Q: find the solution of differential equation 2 y3 y' +- y

A: Click to see the answer

Q: find the solution of differential equation y3 y' +-y x2 2

A: Click to see the answer

Q: Could you please solve the differential equation: u' = 3u + e2t with variation of parameters and…

A: Click to see the answer

Q: Given a differential equation y’’−16y=2e4xy’’−16y=2e4x. Applying the method of undetermined…

A: The given differential equation is: y''-16y=2e4x

Q: Can someone please help me with my problem in Differential Equations. Please write the complete…

A: The Auxiliary equation is D3-3D2+2D-6=0 Using trial D=3 is one root  D-3D2+2D3-3D2+2D-6D33D22D-6…

Q: find the solution of differential equation 2 y' +-y = y3 X x2

A: Differential equation is an equation which contains function and their derivative together .It…

Q: 2. What can you say about a solution of the equation y' = -25y2 just by looking at the differential…

A: Firstly we integrates, then solve it.

Q: The solution of the differential equation y^'=-2xy is a family of solutions of

A: Click to see the answer

Q: Suppose we solved a given differential equation and found the general solution is y = Ce-6t + 2.…

A: Click to see the answer

Q: The solution of the differential equation: y - = y? is

A: Click to see the answer

Q: If we use the method of undetermined coefficients, the particular solution of the following…

A: y(5)+y(3)=x+cos(x) Particular solution : As equivalent function containing x so (To maximum order to…

Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: How would I go about doing this problem: Verify that y=(x+C)cosx is a solution to the differential…

A: Click to see the answer

Q: find the solution of differential equation 2 y3 y' +-y II

A: Click to see the answer

Q: # 4.) Given the differential equation, y'=4cosx-3y, y(0)=1, a.) Solve using methods discussed…

A: Click to see the answer

Q: Show that the function  y1=x-1 is a special solution of the differential equation y'=1-(y-x+1)2 and…

A: Click to see the answer

Q: Consider how the methods of undetermined coefficients and variation of parameters can be combined to…

A: Consider the provided D.E,

Q: Each family of functions is the general solution to a differential equation on the indicated inter…

A: Click to see the answer

Q: Find the general/particular solution of the given differential equation:

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: The solution of the differential equation y = x²y is (Select the correct answer.) O y = ce*² O y =…

A: Click to see the answer

Q: | 2yy + 2 = y + 2x with y(0) = 6. u = With this substitution, y = %3D How do you obtain the…

A: Click to see the answer

Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe²r

A: To find: The differential equation: Given: The equation is y=Ae2x+Bxe2x. Concept used: Product rule:…

Q: (4) a general solution of the 4th-order differential equation y +y(3) + y" = 0.

A: Click to see the answer

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781285741550
    Author:James Stewart
    Publisher:Cengage Learning
    Thomas' Calculus (14th Edition)
    Calculus
    ISBN:9780134438986
    Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
    Publisher:PEARSON
    Calculus: Early Transcendentals (3rd Edition)
    Calculus
    ISBN:9780134763644
    Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
    Publisher:PEARSON
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781319050740
    Author:Jon Rogawski, Colin Adams, Robert Franzosa
    Publisher:W. H. Freeman
    Precalculus
    Calculus
    ISBN:9780135189405
    Author:Michael Sullivan
    Publisher:PEARSON
    Calculus: Early Transcendental Functions
    Calculus
    ISBN:9781337552516
    Author:Ron Larson, Bruce H. Edwards
    Publisher:Cengage Learning
  • Calculus: Early Transcendentals
    Calculus
    ISBN:9781285741550
    Author:James Stewart
    Publisher:Cengage Learning
    Thomas' Calculus (14th Edition)
    Calculus
    ISBN:9780134438986
    Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
    Publisher:PEARSON
    Calculus: Early Transcendentals (3rd Edition)
    Calculus
    ISBN:9780134763644
    Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
    Publisher:PEARSON
    Calculus: Early Transcendentals
    Calculus
    ISBN:9781319050740
    Author:Jon Rogawski, Colin Adams, Robert Franzosa
    Publisher:W. H. Freeman
    Precalculus
    Calculus
    ISBN:9780135189405
    Author:Michael Sullivan
    Publisher:PEARSON
    Calculus: Early Transcendental Functions
    Calculus
    ISBN:9781337552516
    Author:Ron Larson, Bruce H. Edwards
    Publisher:Cengage Learning