Question

Find all real solutions of the ordinary differential equations:

y''+4y=x

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
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
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.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-y'=2 sin(2x)

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

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: If the particular solution is: y=2excos3x                                        ....(1) The first…

Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

A: Click to see the answer

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Click to see the answer

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Click to see the answer

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: We need to a determine homogeneous linear differential equation with constant coefficients whose…

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Click to see the answer

Q: Determine the solution for the differential equation ry = In(x) for which Y(1)

A: y^2 = (ln x)^2  + 2 ln C

Q: Find the differential equation whose solution is given by y = C,et*cos3x + C,e*sin3x

A: Click to see the answer

Q: Solve the second order linear differential equation using method of undermined coeeficient…

A: Now, the equation on the right if of the form x2+1. Thus, particular solution of 3y''+2y'-y=x2+1 is…

Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: Solve the second order linear differential equation using method of undetermined coefficients…

A: To solve: The second order linear differential equation, 3y''+2y'-y=x2+1 using method of…

Q: form the differential equation corresponding to (y – b) = 4(x -a) %3D

A: Given: The equation is (y-b)2=4(x-a)   To determine: The differential equation from the equation…

Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: Calculate the particular solution to the forced differential equation x" + 3x = 5cos(2t)

A: Solve, as follows:

Q: Show that the differential equation below is homogeneous and find the general solution.

A: Click to see the answer

Q: Find general solution of the Euler differential equation x2y” + 3xy’ - 3y = 0

A: x2y” + 3xy’ - 3y = 0

Q: Calculate the particular solution to the forced differential equation x" + 3x = 5cos(2t)

A: Click to see the answer

Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae* +Be-7*

A: Click to see the answer

Q: Find general solutions of the differential equation    (x+y)y'=1

A: Click to see the answer

Q: Find a solution to the differential equation that satisfies the condition given.   y'=x/y,  y(0)=…

A: Click to see the answer

Q: Let y' (x) = V1– y²(x) be a differential equation. What is a solution?

A: Click to see the answer

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Coefficients. (D² +…

A: Click to see the answer

Q: Find the differential equation by eliminating the arbitrary constant y= A + bex

A: Click to see the answer

Q: Find the Differential equation by eliminating the arbitrary constant y= A + bex

A: Click to see the answer

Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: Find the general solution of the differential equation: y" – 2y - 3y= - 3te. Fi: of the…

A: Click to see the answer

Q: Find the particular solution that satisfies the differential equation and the initial condition. x²…

A: Click to see the answer

Q: Obtain the differential equation whose general solution is y= a sin 2x b cos 2x, where a and b are…

A: Click to see the answer

Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

A: Solve for the particular solution of the non-homogeneous differential equation. 1. y''-2y'=ex

Q: Find the particular solution of the differential equation    y′ + sin x cos x = 0    that satisfies…

A: Consider the given differential equation: y'+sinxcosx=0 ; yπ=-2 Here, the objective is to find the…

Q: Find general solutions of the differential equation      2x^2y-x^3y'=y^3

A: 2x2y-x3y'=y3 We need to find the general solutions of the differential equation.

Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1 %3D

A: We first separate the variables2y2dx=3x2dy2dxx2=3dyy2then integrate both…

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: Find the general solution of the first-order linear differential equation y′ + 3y = e3x for x >…

A: Click to see the answer

Q: Use the method of undetermined coefficients to find a particular solution to the differential…

A: Click to see the answer

Q: Find the particular solution that satisfies the initial condition: Differential equation: 2xy' - ln…

A: Click to see the answer

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Click to see the answer

Q: 4. Form the first-order differential equation of y = e(sin y + r) %3D

A: Click to see the answer

Q: Solve the differential equation by variation of parameters, subject to the initial conditions…

A: The given differential equation is 2y"+y'-y = x+5 with the initial condition y0=1, y'0=0 To solve…

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