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The general solution of the differential equation y" + 2y = 0 can be written in the form y = e" (A cos(Bæ)+Bsin(ßx)), where A, B E R, and a± Bi are the roots of the auxiliary equation, a, BER, i = V=1. a) Solve the auxiliary equation, and enter the values of a and B in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. V3, enter this as sqrt(3). a = You must enter ONLY B here, NOT Bi

The general solution of the differential equation y" + 2y = 0 can be written in the form y = e" (A cos(Bæ)+Bsin(ßx)), where A, B E R, and a± Bi are the roots of the auxiliary equation, a, BER, i = V=1. a) Solve the auxiliary equation, and enter the values of a and B in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. V3, enter this as sqrt(3). a = You must enter ONLY B here, NOT Bi

Calculus: Early Transcendentals
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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The general solution of the differential equation y" + 2y = 0 can be written in the form y = e" (A cos(Bæ)+Bsin(ßx)), where A, B E R, and a± Bi are the roots of the auxiliary equation, a, BER, i = V=1. a) Solve the auxiliary equation, and enter the values of a and B in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. V3, enter this as sqrt(3). a = You must enter ONLY B here, NOT Bi
Transcribed Image Text:The general solution of the differential equation y" + 2y = 0 can be written in the form y = e" (A cos(Bæ)+Bsin(ßx)), where A, B E R, and a± Bi are the roots of the auxiliary equation, a, BER, i = V=1. a) Solve the auxiliary equation, and enter the values of a and B in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. V3, enter this as sqrt(3). a = You must enter ONLY B here, NOT Bi
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