Given the following system of differential equations, Find an expression for equilibrium values of u and İL d (1)7,- LiL(t) = Vs – u(t)vc(t) – Ri1(t) vc(t) = u(t)i1(t) dt -vc(t) – ip(t) RL dt Please show all calculation steps

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the following system of differential equations, Find an expression for
equilibrium values of u and İL
d
(1)7,-
LiL(t) = Vs – u(t)vc(t) – Ri1(t)
vc(t) = u(t)i1(t)
dt
-vc(t) – ip(t)
RL
dt
Please show all calculation steps
Transcribed Image Text:Given the following system of differential equations, Find an expression for equilibrium values of u and İL d (1)7,- LiL(t) = Vs – u(t)vc(t) – Ri1(t) vc(t) = u(t)i1(t) dt -vc(t) – ip(t) RL dt Please show all calculation steps
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