Now, using the general form of solution as shown above, with a and B, find the exact solution that satisfies the conditions y(0) = 3 and y'(0) = –9, by calculating the values of the constants A anc B, and entering them in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. Vx, enter this as sqrt(x). A В

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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Now, using the general form of solution as shown above, with a and B, find the exact solution that
satisfies the conditions y(0) = 3 and y' (0) = –9, by calculating the values of the constants A and
B, and entering them in the boxes.
Do not enter decimals in your answers. If you need to enter a square root, e.g. Vx, enter this
as sqrt(x).
A =
B =
Transcribed Image Text:Now, using the general form of solution as shown above, with a and B, find the exact solution that satisfies the conditions y(0) = 3 and y' (0) = –9, by calculating the values of the constants A and B, and entering them in the boxes. Do not enter decimals in your answers. If you need to enter a square root, e.g. Vx, enter this as sqrt(x). A = B =
The general solution of the differential equation
y" + 2y = 0
can be written in the form
y = ea" (A cos(Bæ) + B sin(ßæ)),
where A, B E R, and
a± Bi are the roots of the auxiliary equation, a, B E R, i = v=1.
Transcribed Image Text:The general solution of the differential equation y" + 2y = 0 can be written in the form y = ea" (A cos(Bæ) + B sin(ßæ)), where A, B E R, and a± Bi are the roots of the auxiliary equation, a, B E R, i = v=1.
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