The given system of linear differential equations models the concentrations of insulin and glucose in an individual, as described earlier in this section. Find the general solution for the system. y'ı = -0.44y1 + 0.12y2 y'2 = -0.08y1 - 0.16y2 Suppose that it is known that at time t = 0 the concentrations of insulin and glucose, respectively, are Y1(0) = 21, y2(0) = 52 Find a formula for y;(t) and y2(t). (yı(t), y2(t)) = |

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The given system of linear differential equations models the concentrations of insulin and glucose in an individual, as described earlier in this section. Find the general
solution for the system.
y'ı = -0.44y1 + 0.12y2
y'2 = -0.08y1 - 0.16y2
Suppose that it is known that at time t = 0 the concentrations of insulin and glucose, respectively, are
Y1(0) = 21, y2(0) = 52
Find a formula for y;(t) and y2(t). (yı(t), y2(t)) = |
Transcribed Image Text:The given system of linear differential equations models the concentrations of insulin and glucose in an individual, as described earlier in this section. Find the general solution for the system. y'ı = -0.44y1 + 0.12y2 y'2 = -0.08y1 - 0.16y2 Suppose that it is known that at time t = 0 the concentrations of insulin and glucose, respectively, are Y1(0) = 21, y2(0) = 52 Find a formula for y;(t) and y2(t). (yı(t), y2(t)) = |
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