Solve the equation dy/dx = 2 - y, y(0) = 0 A. 2(1 - e²x) B. 2(1 + e²x) C. 2(1 - e-x) D. 2(1 + e-x) Solve the equation y' = x²y A. y=Ce³x B. y=Cex³/3 C. y=Ce³x³ D. y=Cex³ The differential equation dy_3x² + y² + y² can be dx 2xy made exact by using the integrating factor A. x² B. y² C. 1/x² D. 1/y Solve the equation y" + 9 sin 3x = 0. A. y = cos 3x + c₁x + C₂ B. y = 3 sin 3x + c1x + c2 = C. y sin 3x + C₁x + c₂ D. y = -sin 3x + C₁x + c₂

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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please fully answer this four question thank you using calculus

Solve the equation dy/dx = 2 - y, y(0) = 0
A. 2(1 - e²x)
B. 2(1 + e²x)
C. 2(1 - e-x)
D. 2(1 + e-x)
Solve the equation y' = x²y
A. y=Ce³x
B. y=Cex³/3
C. y=Ce³x³
D. y=Cex³
The differential equation
dy_3x² + y²
+ y² can be
dx
2xy
made exact by using the integrating factor
A. x²
B. y²
C. 1/x²
D. 1/y
Solve the equation y" + 9 sin 3x = 0.
A. y = cos 3x + c₁x + C₂
B. y = 3 sin 3x + c1x + c2
=
C. y sin 3x + C₁x + c₂
D. y = -sin 3x + C₁x + c₂
Transcribed Image Text:Solve the equation dy/dx = 2 - y, y(0) = 0 A. 2(1 - e²x) B. 2(1 + e²x) C. 2(1 - e-x) D. 2(1 + e-x) Solve the equation y' = x²y A. y=Ce³x B. y=Cex³/3 C. y=Ce³x³ D. y=Cex³ The differential equation dy_3x² + y² + y² can be dx 2xy made exact by using the integrating factor A. x² B. y² C. 1/x² D. 1/y Solve the equation y" + 9 sin 3x = 0. A. y = cos 3x + c₁x + C₂ B. y = 3 sin 3x + c1x + c2 = C. y sin 3x + C₁x + c₂ D. y = -sin 3x + C₁x + c₂
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