If the general solution of the differential equatino system dx 2x – 5y dt dy 2y + x dt x(t) = c,e +€ze at is y(t) = c,edt + Cze then what is the relations between €, Ez =3t and c3, C ? a)G =-5c,, Cg C4 b) e = 5c, , Cz ==C4 d) = C,, Cz =-5c4 e) G = -C3, C2 = 5c4

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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If the general solution of the differential equatino system
dx
2x – 5y
dt
dy
2y + x
dt
x(t) = c,e + €ze-3t
y(t) = c,edt + Cze =3t
then what is the relations between €,,€z
and C3, C4 ?
a)G =-5c3
C4
b) e = 5e, , Cz==C4
c)G=-C,, Cz =-5C4
d) G = C,, C2 =-5c4
e) C = -C3 , C2
5c4
Transcribed Image Text:If the general solution of the differential equatino system dx 2x – 5y dt dy 2y + x dt x(t) = c,e + €ze-3t y(t) = c,edt + Cze =3t then what is the relations between €,,€z and C3, C4 ? a)G =-5c3 C4 b) e = 5e, , Cz==C4 c)G=-C,, Cz =-5C4 d) G = C,, C2 =-5c4 e) C = -C3 , C2 5c4
The differential equation
x + 2y – 8
4y + 6
2x
is wanted to transform into a seperable differential equation by using a suitable
trasformation. Which of the following transformations is NOT one of these
transformations?
a) u = x+ 2y
b) u = 2x - 4y
c) u = 2x + 4y
d) u = =2x + 4y
e) u (x + 2y)
+lendiğiniger
Transcribed Image Text:The differential equation x + 2y – 8 4y + 6 2x is wanted to transform into a seperable differential equation by using a suitable trasformation. Which of the following transformations is NOT one of these transformations? a) u = x+ 2y b) u = 2x - 4y c) u = 2x + 4y d) u = =2x + 4y e) u (x + 2y) +lendiğiniger
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