d'y The general solution of the differential equation dy +2- 5y 0 is dx Ay Ce-2+6)x+ Czel-2-6)x y= Ce-2-v8)x+ C,el-2+VB)x Dy Ge-1+vx+ Czel-1-V5)x

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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d²y
The general solution of the differential equation
dy
+2
5y 0 is
dx
y= Ce-2+6)x+ C,el-2-6)x
B
y=Ce-2-v8)x+ C,el-2+vB)x
y=Ce-1+
1+8)x
v®]x+ Czel-1-VB)x
y=Ce-1+v6)x+ Czel-1-v6)x
Transcribed Image Text:d²y The general solution of the differential equation dy +2 5y 0 is dx y= Ce-2+6)x+ C,el-2-6)x B y=Ce-2-v8)x+ C,el-2+vB)x y=Ce-1+ 1+8)x v®]x+ Czel-1-VB)x y=Ce-1+v6)x+ Czel-1-v6)x
Solve: У - 2y +2у - е'sec(x)
A
y= C,e*sin(x) + Cze*cos(x) – e*cos(x)In(sec(x))
B
y= C, e*sin(x) + Cze*cos(x) +4xe*cos(x)
© y= Ce*sin(x) + C2e*cos(x) + xe*sin(x) + e*cos(x)In(cos(x))
y=C e*sin(x) + C2e*cos(x) + e*sin(x) + e*cos(x)tan(x)
Ey=Ce*sin(x) + Cze*cos(x) + 4xe*sin(x)
Transcribed Image Text:Solve: У - 2y +2у - е'sec(x) A y= C,e*sin(x) + Cze*cos(x) – e*cos(x)In(sec(x)) B y= C, e*sin(x) + Cze*cos(x) +4xe*cos(x) © y= Ce*sin(x) + C2e*cos(x) + xe*sin(x) + e*cos(x)In(cos(x)) y=C e*sin(x) + C2e*cos(x) + e*sin(x) + e*cos(x)tan(x) Ey=Ce*sin(x) + Cze*cos(x) + 4xe*sin(x)
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