10- y(x + y + 1)dx + (x + 2)dy = 0 denklemi **1 + y' = 0 denklemine denktir. Bu son denklem için M, = - ve Ng = eşitliklerinden 1 = 1(x) y biçiminde bir integrasyon çarpanı vardır. Verilen denklem için integral çarpanı aşağıdakilerden hangisidir? a)o 1 = (x + 1)e* b)o 1 = xex eo 1 = x?e* c) d)o 1 = e-x 1 = ex e)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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differential equations

Which of the following is the integral factor for the given equation?

10-
+y' = 0 denklemine
ve Ng = eşitliklerinden = 1(x)
*+y+1
x+2
y(x + y + 1)dx + (x + 2)dy = 0 denklemi
y
X+1
denktir. Bu son denklem için M,
biçiminde bir integrasyon çarpanı vardır.
Verilen denklem için integral çarpanı aşağıdakilerden hangisidir?
ao 2 = (x + 1)e*
b)o 1 = xex
eo 1 = x?e*
1 = e-x
d)
e)o A = ex
Transcribed Image Text:10- +y' = 0 denklemine ve Ng = eşitliklerinden = 1(x) *+y+1 x+2 y(x + y + 1)dx + (x + 2)dy = 0 denklemi y X+1 denktir. Bu son denklem için M, biçiminde bir integrasyon çarpanı vardır. Verilen denklem için integral çarpanı aşağıdakilerden hangisidir? ao 2 = (x + 1)e* b)o 1 = xex eo 1 = x?e* 1 = e-x d) e)o A = ex
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