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Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a) = x using the following values. 4 -5 12 0 1 A = - e¯t + 5e³t 5e¯t - 5e3t f(t) = x(0) = 1-2 24 0 4 -ete³t 5et-e3t 12e3t-3e-t x(t) = 24e3-6e-t

Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a) = x using the following values. 4 -5 12 0 1 A = - e¯t + 5e³t 5e¯t - 5e3t f(t) = x(0) = 1-2 24 0 4 -ete³t 5et-e3t 12e3t-3e-t x(t) = 24e3-6e-t

Advanced Engineering Mathematics
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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Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a) = x using the following values. 4 -5 12 0 1 A = - e¯t + 5e³t 5e¯t - 5e3t f(t) = x(0) = 1-2 24 0 4 -ete³t 5et-e3t 12e3t-3e-t x(t) = 24e3-6e-t
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax+f(t), x(a) = x using the following values. 4 -5 12 0 1 A = - e¯t + 5e³t 5e¯t - 5e3t f(t) = x(0) = 1-2 24 0 4 -ete³t 5et-e3t 12e3t-3e-t x(t) = 24e3-6e-t
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