Solve the tollowing ys: zt t dy +by = 2 +2X + Anss 24는 +3x + 3의 +y3 dt dt -t zt t YCE) =kie +kie -Ile-3 dt +8y =1 dt

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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Solve the following Systems of ODES 8
zt t
+2X +
dt
dy +6y = 28
dt
Anss
zt t
-t
YCE) =kie +ke -I1e-3
2dx +3X + 3dy
dt
-t
(D+5)X +(DH)y3e
(D+2)X +(D+1)y= 3.
x Ct ) = 4
Anse
y(t)=-5+*
• (2D+3) X +(D+4)y=-cost
(D+)X + (D+2)y=2 sint
!!
--
Ansg XLt) = e(, cost +Cz sint).+2st-3sint
%3D
yCE)= ē (ki cost + K2 Sint)-cost+ 3sint
Transcribed Image Text:Solve the following Systems of ODES 8 zt t +2X + dt dy +6y = 28 dt Anss zt t -t YCE) =kie +ke -I1e-3 2dx +3X + 3dy dt -t (D+5)X +(DH)y3e (D+2)X +(D+1)y= 3. x Ct ) = 4 Anse y(t)=-5+* • (2D+3) X +(D+4)y=-cost (D+)X + (D+2)y=2 sint !! -- Ansg XLt) = e(, cost +Cz sint).+2st-3sint %3D yCE)= ē (ki cost + K2 Sint)-cost+ 3sint
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