Consider the nonhomogeneous linear system of differential equations x₁= x2 + 6t - 3 x₂ = x1 + 2x2 + 16t – 1 Find values A, B, C, D so that x₁ = = At + B, x₂ = Ct + D is a solution to this system. A: B - C = D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Consider the nonhomogeneous linear system of differential equations
x₁= x₂ + 6t - 3
x2 = x₁ + 2x2 + 16t – 1
Find values A, B, C, D so that x₁ = At + B, x₂ = Ct + D is a solution to this system.
A
B
C =
D
Transcribed Image Text:Consider the nonhomogeneous linear system of differential equations x₁= x₂ + 6t - 3 x2 = x₁ + 2x2 + 16t – 1 Find values A, B, C, D so that x₁ = At + B, x₂ = Ct + D is a solution to this system. A B C = D
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