Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y = 2x + (-1 + con(a). sin(x) 2x Step zero, the standard form of the equation is: y' + = 1+ cos(x) First real step, determine the integrating factor Integrating factor = Second, multiply both sides by the integrating factor. Third, rewrite the equation in the form [f(x, y)]' = g(x) f(x, y) = g(x) = Lastly, integrate to determine the general solution to the equation, using c for your constant of integration: y =
Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y = 2x + (-1 + con(a). sin(x) 2x Step zero, the standard form of the equation is: y' + = 1+ cos(x) First real step, determine the integrating factor Integrating factor = Second, multiply both sides by the integrating factor. Third, rewrite the equation in the form [f(x, y)]' = g(x) f(x, y) = g(x) = Lastly, integrate to determine the general solution to the equation, using c for your constant of integration: y =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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2
Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y = 2x
sin(x)
Step zero, the standard form of the equation is: y' +
+(₁
y =
2x
1 + cos(x)
1 + cos(x)
First real step, determine the integrating factor
Integrating factor =
Second, multiply both sides by the integrating factor.
Third, rewrite the equation in the form [f(x, y)]' = g(x)
f(x, y) =
g(x) =
Lastly, integrate to determine the general solution to the equation, using c for your constant of
integration:
y =
C
2
W
S
X
# 3
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Transcribed Image Text:@
2
Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y = 2x
sin(x)
Step zero, the standard form of the equation is: y' +
+(₁
y =
2x
1 + cos(x)
1 + cos(x)
First real step, determine the integrating factor
Integrating factor =
Second, multiply both sides by the integrating factor.
Third, rewrite the equation in the form [f(x, y)]' = g(x)
f(x, y) =
g(x) =
Lastly, integrate to determine the general solution to the equation, using c for your constant of
integration:
y =
C
2
W
S
X
# 3
e
d
с
C
54
$
r
f
otos
%
5
V
rt
g
Oll
6
b
y
&
7
h
O
u
n
8
j
(
9
m
k
✓
)
0
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