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= (a) Calculate the general solution for the homogeneous system of first-order differential equations. Y₁' = 6y₁ + y2 y2 = 5y₁ + 2y2

= (a) Calculate the general solution for the homogeneous system of first-order differential equations. Y₁' = 6y₁ + y2 y2 = 5y₁ + 2y2

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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Q3 (a) (b) Calculate the general solution for the homogeneous system of first-order differential equations. Differential equation in Q3(a) is added with 4e7% and 10e7* as Y₁' = 6y₁ + y₂ + 4e7x Y2' = 5y1 + 2y₂ + 10e7x Calculate the particular integral, Y using method of undetermined coefficients. (i) Y₁' = 6y₁ + y2 Y2' = 5y₁ + 2y2 (ii) Solve the particular solution of the system in Q3(b) if initial condition is x(0)=(1).
Transcribed Image Text:Q3 (a) (b) Calculate the general solution for the homogeneous system of first-order differential equations. Differential equation in Q3(a) is added with 4e7% and 10e7* as Y₁' = 6y₁ + y₂ + 4e7x Y2' = 5y1 + 2y₂ + 10e7x Calculate the particular integral, Y using method of undetermined coefficients. (i) Y₁' = 6y₁ + y2 Y2' = 5y₁ + 2y2 (ii) Solve the particular solution of the system in Q3(b) if initial condition is x(0)=(1).
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