Find the general solution of the given equation. d²y dx² dy - 16— + 64y = 0 dx Choose the correct solution below. c₁ and C₂ are arbitrary constants. O A. y = C₁ cos (8x) + C₂ sin (8x) O B. y=c₁e + C₂e OC. y=c₁e³x + ₂x³x OD. y=c₁e -8x - 8x +C2Xe 8x

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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Find the general solution of the given equation.
d²y
dx²
dy
- 16— + 64y =0
dx
Choose the correct solution below. c₁ and c₂ are arbitrary constants.
O A. y=c₁ cos (8x) + C₂ sin (8x)
B.
8x
8x
y=c₁e + C₂e
OC. y=c₁e³x.
O D.
y=c₁e
+
stest
+C2 Xe
- 8x
Transcribed Image Text:Find the general solution of the given equation. d²y dx² dy - 16— + 64y =0 dx Choose the correct solution below. c₁ and c₂ are arbitrary constants. O A. y=c₁ cos (8x) + C₂ sin (8x) B. 8x 8x y=c₁e + C₂e OC. y=c₁e³x. O D. y=c₁e + stest +C2 Xe - 8x
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