In order to solve with we first After where c is the y' we have 3x² ex 2y-5 the variables. This gives both sides, we obtain y(0) = 1 (2y — 5)dy = (3x² – eª )dx. y² - 5y = x³ e +c of integration. Setting x= Thus, we have y²- 5y- (x³ ex 3) = 0. and
In order to solve with we first After where c is the y' we have 3x² ex 2y-5 the variables. This gives both sides, we obtain y(0) = 1 (2y — 5)dy = (3x² – eª )dx. y² - 5y = x³ e +c of integration. Setting x= Thus, we have y²- 5y- (x³ ex 3) = 0. and
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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Question
![In order to solve
3x2
y'
et
2y – 5
with
y(0) = 1
we first
the variables. This gives
(2y – 5)dy = (3x² – e* )dx.
After
both sides, we obtain
y? – 5y = x – e² +c
where c is the
of integration. Setting x=
and
we have
. Thus, we have
у? — 5у — (23 — e — 3) — 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f19d87e-bf5c-407c-aa9c-6914ce481f0d%2Feab686f8-80c8-4275-b22c-c0c03922b330%2Fdlj7j0l_processed.png&w=3840&q=75)
Transcribed Image Text:In order to solve
3x2
y'
et
2y – 5
with
y(0) = 1
we first
the variables. This gives
(2y – 5)dy = (3x² – e* )dx.
After
both sides, we obtain
y? – 5y = x – e² +c
where c is the
of integration. Setting x=
and
we have
. Thus, we have
у? — 5у — (23 — e — 3) — 0.
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