(a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for...
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(a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for the system, (c) Write the general solution in the form 22(1)C, carry out this product and verify that the rows 12(1)C are the components of the given solution and (d) Find the unique solution satisfying the initial conditions. x₁ = 2x₁ + x₂₁x₂=-3x₁ +6x₂. X₁ (1)=c₁e" cos(1)+c₂e" sin(1) x₂(1)=2c₁e¹¹ [cos(t)- sin(t)] +2cze [cos(1)+sin(f)]. x₁ (0)=-2. x₂ (0)=1 (a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for the system, (c) Write the general solution in the form 22(1)C, carry out this product and verify that the rows 12(1)C are the components of the given solution and (d) Find the unique solution satisfying the initial conditions. x₁ = 2x₁ + x₂₁x₂=-3x₁ +6x₂. X₁ (1)=c₁e" cos(1)+c₂e" sin(1) x₂(1)=2c₁e¹¹ [cos(t)- sin(t)] +2cze [cos(1)+sin(f)]. x₁ (0)=-2. x₂ (0)=1
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Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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