Solve the following Systems of ODES 3 dy +6y = 28 zt t +2X + dt dt Anss 2t t 2dx +3X + 3d +8y31

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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Solve the following Systems of ODES 8
+2X + d +6y = 2
xp
dt
zt t
Anss
dt
zt
2dx +3X +34+8y=1
-t
Y(E) =kje tkie-11e -3
dt
-t
(D+5)X +CDH)y=e
(D+2)X +(D+)y= 3
X Ct ) = 4
Anse
y(t)= -5+2
• (2D+3) X +(D+4)y= -cost
(D+1) X + (D+2)y = 2 Sint
%3D
Ansg X(t) =
e(c, cost+C2 sint) +2s t-3sint
%3D
Y(E) = e (ki cost +k2 Sint)-cust+
3sint
Transcribed Image Text:Solve the following Systems of ODES 8 +2X + d +6y = 2 xp dt zt t Anss dt zt 2dx +3X +34+8y=1 -t Y(E) =kje tkie-11e -3 dt -t (D+5)X +CDH)y=e (D+2)X +(D+)y= 3 X Ct ) = 4 Anse y(t)= -5+2 • (2D+3) X +(D+4)y= -cost (D+1) X + (D+2)y = 2 Sint %3D Ansg X(t) = e(c, cost+C2 sint) +2s t-3sint %3D Y(E) = e (ki cost +k2 Sint)-cust+ 3sint
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