Write the linear differential equation x²dy – (2xy + x – 1)dx = 0 in standard form dy + yP(x) = Q(x). %3D dx (1) + y (E) = + (3) + y (-) = ! dx dx (2) + y () = - (4) + y(-) + y (-÷) 1 1 1 = --- dx x2 dx x2
Write the linear differential equation x²dy – (2xy + x – 1)dx = 0 in standard form dy + yP(x) = Q(x). %3D dx (1) + y (E) = + (3) + y (-) = ! dx dx (2) + y () = - (4) + y(-) + y (-÷) 1 1 1 = --- dx x2 dx x2
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
A. 4
B. 2
C. 3
D. 1
![Write the linear differential equation x?dy – (2xy + x – 1)dx = 0 in standard
dy
form
+ yP(x) %3D Q(х).
dx
(3)+y(-) = +
dy
+y(=)
%3D
dx
х2
dx
x2
(2) + y (-)
1
= - -
x2
(4) + y(-;) = !-
1
1
= - -
dx
dx
x2
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F090d01db-0a3f-46b0-8d1a-e0250d2c98ff%2F817a35c6-b56f-4137-b515-3a884da8a412%2Fqeh2h3d_processed.png&w=3840&q=75)
Transcribed Image Text:Write the linear differential equation x?dy – (2xy + x – 1)dx = 0 in standard
dy
form
+ yP(x) %3D Q(х).
dx
(3)+y(-) = +
dy
+y(=)
%3D
dx
х2
dx
x2
(2) + y (-)
1
= - -
x2
(4) + y(-;) = !-
1
1
= - -
dx
dx
x2
||
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