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Calculate the general solution for the homogeneous system of first-order equations. y₁ =6y₁ + y₂ y₂ = 5y₁ +2y₂

Calculate the general solution for the homogeneous system of first-order 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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Please solve this ODE equation and also give me the matlab code for this equation
(a) (b) Calculate the general solution for the homogeneous system of first-order differential equations. y₁ = 6y₁ + y₂ y₂ = 5y₁ + 2y₂ Differential equation in Q3(a) is added with 4e7* and 10e¹ as y₁ =6y₁ + y₂ +4e¹x y₂ =5y₁ +2y₂ +10e¹* (i) Calculate the particular integral Y, using the method of undetermined coefficients. Solve the particular solution of the system in Q3(b) if the initial condition is y(0)=(i).
Transcribed Image Text:(a) (b) Calculate the general solution for the homogeneous system of first-order differential equations. y₁ = 6y₁ + y₂ y₂ = 5y₁ + 2y₂ Differential equation in Q3(a) is added with 4e7* and 10e¹ as y₁ =6y₁ + y₂ +4e¹x y₂ =5y₁ +2y₂ +10e¹* (i) Calculate the particular integral Y, using the method of undetermined coefficients. Solve the particular solution of the system in Q3(b) if the initial condition is y(0)=(i).
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