Which of the following a) y'= 1 2 X 1 b) y' = = y² + x 1 1 c) y' = = y³ +; X X 1 1 y' ==y² +=y" x X 2 2 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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MCQ:
The given IVP dy = f(x, y), y(1) = 0 has a unique solution on the
dx
region R when:
af
a) f(x,y) and ax
b) f(x, y) and
c) f(x, y) and
d) f(x,y) and əx
a) y'
ду
af
ду
Which of the following differential equation is Reccati's equation
1
=IV-
x
×IN
2
1
1
b) y'==y² +=y
x
X
are continuous function on any region R containing the point (0,1)
are continuous function on any region R containing the point (0,1)
are continuous function on any region R containing the point (1,0)
are continuous function on any region R containing the point (1,0)
--
x
1
1
c) y'==y³ +-y-=
X'
x
1
1
d) y'==y² +=y"
X
[1.1]
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[1.17
Transcribed Image Text:MCQ: The given IVP dy = f(x, y), y(1) = 0 has a unique solution on the dx region R when: af a) f(x,y) and ax b) f(x, y) and c) f(x, y) and d) f(x,y) and əx a) y' ду af ду Which of the following differential equation is Reccati's equation 1 =IV- x ×IN 2 1 1 b) y'==y² +=y x X are continuous function on any region R containing the point (0,1) are continuous function on any region R containing the point (0,1) are continuous function on any region R containing the point (1,0) are continuous function on any region R containing the point (1,0) -- x 1 1 c) y'==y³ +-y-= X' x 1 1 d) y'==y² +=y" X [1.1] Scanned with CamScanner [1.17
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