QUESTION 6Determine the unique solution of the following differential equation by using Laplacey"(t) + 2y'(t)+10y(t)=(25² +16t +2)e*, if y(0) = 0 and y'(0) = 0.transforms:

Let's solve given diffrential equation by using laplace transform method.

Answered: QUESTION 6 Determine the unique…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) y"" + 16y" + 64y' = ex D + 82 X Jy - ex
Transform the following differential equations into start form for linear differential equations.
Consider the differential equation y'= 1-y. (a) Find equations for the isoclines corresponding to the slopes 2,1, -1, -2 and 0 in the form y = g(t) (recall, isoclines are curves of the form f(t, y) = C).
Put the differential equation p(t) = g(t) = ty' (t² + 5)y cos(t) + e3t into the form y' + p(t)y = g(t) and find p(t) and g(t). Y help (formulas) help (formulas)
Consider the differential equation y' -5x + 7y – 10 (1) By making the change of variable u=-5x+7y-10, the differential equation (1) becomes the new differential equation: a) du = (7/ū – 5x) dx %3D b) du = (7/u – 15) dx c) du = (7/ū – 5) dæ d) du 3 (7/а — 152) da %3D
Use euler scheme to solve the problem
1. Rewrite the given first-order differential equation in normal form. Sketch the direction field defined by the differential equation either by hands or by using an appropriate software. (a) x' + 2x-1=0 (b) (t²+1)x' - x = 0 KAD
Use Laplace transformation technique to solve the differential equation. y’’ + 1 = 2t y(0)=2 y’(0)=1
An integrating factor u(x) for the linear differential equation is ext xy' – Select one: O None of the others. O e2/x² O e-2/x² O e-x² 4 x² y = 2x
Solve in 20 min plz
What is the resulting differential equation after the initial substitution from the appropriate 2nd order transformation? Do not transpose terms to the other side of the equation. Continue from the solution obtained with the appropriate 2nd order transformation. Assume dy/dx > 0 and x > 0. If x = 1, C1 = 0, and C2 = 0, what is the value of y?
Find general solutions of the differential equation

SEE MORE QUESTIONS

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:

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

SEE MORE TEXTBOOKS

QUESTION 6 Determine the unique solution of the following differential equation by using Laplace y"(t) + 2y'(t)+10y(t) = (25t² +16t + 2)e *, if y(0) = 0 and y'(0) = 0 . transforms: