Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) Determine the general solution to the differential equation. A y (x) = Ax e* + B e** + C e3x В y (x) = A e + Be-3x + C e -4x (c) y(x) = A e' -4* + B e* + C e* y(x) = Ax e¯4x + B e -4x + + Ce3* D E y (x) = A cos(4x) + B sin(4x) + C e³* F y (x) = A cos(-4x) + B sin(– 4x) + C e-3x

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...
Question

15

Given the combined differential operators for a given differential equation
(D + 4)(D – 3) (D - 4)
Determine the general solution to the differential equation.
A
y (x) = Ax e* + B e** + C e3x
В
y (x) = A e + Be-3x + C e -4x
(c) y(x) = A e'
-4* + B e* + C e*
y(x) = Ax e¯4x + B e -4x +
+ Ce3*
D
E
y (x) = A cos(4x) + B sin(4x) + C e³*
F
y (x) = A cos(-4x) + B sin(– 4x) + C e-3x
Transcribed Image Text:Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) Determine the general solution to the differential equation. A y (x) = Ax e* + B e** + C e3x В y (x) = A e + Be-3x + C e -4x (c) y(x) = A e' -4* + B e* + C e* y(x) = Ax e¯4x + B e -4x + + Ce3* D E y (x) = A cos(4x) + B sin(4x) + C e³* F y (x) = A cos(-4x) + B sin(– 4x) + C e-3x
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