Solve the given differential equation. The form of yp is given. D²y-2Dy-8y=64 (Let yp = A.) Choose the correct solution below. c₁ and c₂ are arbitrary constants. OA. y=c₁e-2x + c₂e4x OB. y=c₁e O C. O D. + 2x C₂e4x -2x y=c₁e² + y=c₁e -C₂e4x - 8 4x -2x -8e +c₂e + 64

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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Solve the given differential equation. The form of yp is given.
D²y-2Dy-8y=64 (Let yp = A.)
Choose the correct solution below. c₁ and c₂ are arbitrary constants.
OA. y=ce 2X+cze4x
O B.
y=c₁e
+C₂e4x
C. y=c₁₂e-²x₁
-C₂e4x - 8
OD. y=c₁e-2x + c₂e4x + 64
-2x
8e
e-2x
Transcribed Image Text:Solve the given differential equation. The form of yp is given. D²y-2Dy-8y=64 (Let yp = A.) Choose the correct solution below. c₁ and c₂ are arbitrary constants. OA. y=ce 2X+cze4x O B. y=c₁e +C₂e4x C. y=c₁₂e-²x₁ -C₂e4x - 8 OD. y=c₁e-2x + c₂e4x + 64 -2x 8e e-2x
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