Discuss the behavior of the graph of(y-1)². a. the graph converges to y = 3 from above c. b. the graph increases without bound from y d. As x increases to the right: the graph converges to y = 3 from below the graph decreases without bound from = 3.
Discuss the behavior of the graph of(y-1)². a. the graph converges to y = 3 from above c. b. the graph increases without bound from y d. As x increases to the right: the graph converges to y = 3 from below the graph decreases without bound from = 3.
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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Transcribed Image Text:11. Discuss the behavior of the graph of =(-1)². As x increases to the right:
dx
c.
a. the graph converges to y = 3 from above
b. the graph increases without bound from y d.
= 3.
12. Discuss the behavior of the graph of dy/dx = (y-3),
a. the graph increases without bound from y c.
= 3.
b. the graph converges to y = 3 from below
b.
X
13. What is the integrating factor of the differential equation: (x+2y)dx-xdy = 0?
a.
c. x²
a.
b.
1
a Separable Equation
an Exact Equation
14. If an equation of the form M(x,y) dx + N(x,y) dy=0, has its partial derivatives M, N, then the equation.
is
17.
M
a.
e siny
b Not Exact
ON
ax, otherwise choose Not Exact
16. Solve the equation 3x dx+4ydy=0
a. x² + 2y² = c
b. 3x³ +²=c
15. Verify if the given differential equation is exact: (e* siny+ 2y)dx-(2x-e* siny)dy = 0 if it is exact state
aM
19
18. The equation (1+x) dx +(3+y) dy =0 is a/an
Linear Equation
the graph converges to y = 3 from below
the graph decreases without bound from y
= 3.
d.
the graph decreases without bound from y
= 3.
a
b. Homogeneous Equation
y(0) = 6. As x increases to the right:
the graph converges to y=3 from above
d. x
C.
d.
a
The equation (x² + 3xy)dx + (y² + 2xy)dy = 0 is a a/an
a. exact equation
b. separable equation
a Homogeneous Equation
a Non Exact Equation
c. e cosy + 2
d. 2-e siny
3 from above
c. x+4y²-c
d.
6x-4 = c
C.
linear equation
d. homogeneous equation
C.
d.
Discuss the behavior of the graph of dy/dx = (y-3), y(0) = -6. As x increases to the right:
the graph increases without bound from y c.
the graph converges to y = 3 from below
= 3.
b. the graph converges to y
Bemoulli Equation
Separable Equation
differential equatio
d. the graph decreases without bound from y
= 3.
20. Find the integrating factor of the differential equation: x²y'+ 2xy-y² = 0
a.
x²
c. x4
b. x-3
d. x¹
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