In order to solve with y(0) = 1 we first (2y-5)dy = (3x² - e²)dr. After y²-5y = 2³-e²+c of integration. Setting x= and where c is the have y² - 5y- (r³e² - 3) = 0. By using 5 13 (2) = +2³-e². In the quadratic formula, negative square root is chosen because of the variables. This gives both sides, we obtain y' 31² - e² 2y-5 we have Thus, we

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In order to solve
with
y(0) = 1
we first
(2y-5)dy = (3x² - e²)dr.
After
y²-5y = 2³-e²+c
of integration. Setting x=
and
where c is the
have
y² - 5y- (r³e² - 3) = 0.
By using
5
13
ly(z)
+2³ - e².
In the quadratic formula, negative square root is chosen because of
factor
constant
integration by parts
c=-3
separate
the initial conditions
value
x=1
integrating
the variables. This gives
both sides, we obtain
y'
31² - e²
2y-5
disintegrate
c=-3
0
eliminate
c=1
y=1
we have
c=0
c=3
Thus, we
y=0
the quadratic formula
Transcribed Image Text:In order to solve with y(0) = 1 we first (2y-5)dy = (3x² - e²)dr. After y²-5y = 2³-e²+c of integration. Setting x= and where c is the have y² - 5y- (r³e² - 3) = 0. By using 5 13 ly(z) +2³ - e². In the quadratic formula, negative square root is chosen because of factor constant integration by parts c=-3 separate the initial conditions value x=1 integrating the variables. This gives both sides, we obtain y' 31² - e² 2y-5 disintegrate c=-3 0 eliminate c=1 y=1 we have c=0 c=3 Thus, we y=0 the quadratic formula
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