which followind ode has the solution; y = e**(Acos x + B sin x) I → y" – 6y' + 9y = 0 II → y" – 6y' +5y= 0 III → y" – 4 y' +5y = 0 IV → y" – 6y' + 5y= 3e* %3D V → y" – 4 y' + 5y = e* O A) III B) IV D) I O E) II
which followind ode has the solution; y = e**(Acos x + B sin x) I → y" – 6y' + 9y = 0 II → y" – 6y' +5y= 0 III → y" – 4 y' +5y = 0 IV → y" – 6y' + 5y= 3e* %3D V → y" – 4 y' + 5y = e* O A) III B) IV D) I O E) II
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...
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differential equations
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Step 1
We need to find out which ODE has the solution
We can clearly see that this is a solution of a homogenous ODE and the roots of the auxiliary equation of that ODE are
So, the auxiliary equation should be:
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