e19z y" – 38y' + 361ly It is proposed as a particular solution yp= U(x)e19x + V(x)xe19 where U'(x) and V'(x) satisfy the system: U'(x) + ¤V'(x) = 0 1 19U'(x) + (19x +1)V'(x) = Where do you get: a) V(x) +C, with C with real constant =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the differential equation:
e19z
y" – 38y' + 361y
It is proposed as a particular solution yp= U(x)e'19x + V(x)xe19x where U'(x) and V'(x)
satisfy the system:
U'(x) + ¤V'(x) = 0
1
19U'(x)+ (19x + 1)V'(x) =
x6
Where do you get:
a) V(x) =+C, with C with real constant
x6
1
b) V(x)
+ +C, with C with real constant
x5
c) V(x) =
-5 +C, with C with real constant
x5
d) V(x) =4.
x4
+C, with C with real constant
Transcribed Image Text:Consider the differential equation: e19z y" – 38y' + 361y It is proposed as a particular solution yp= U(x)e'19x + V(x)xe19x where U'(x) and V'(x) satisfy the system: U'(x) + ¤V'(x) = 0 1 19U'(x)+ (19x + 1)V'(x) = x6 Where do you get: a) V(x) =+C, with C with real constant x6 1 b) V(x) + +C, with C with real constant x5 c) V(x) = -5 +C, with C with real constant x5 d) V(x) =4. x4 +C, with C with real constant
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