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U. Houston - MATH 6
  • 15 Pages S6_4
    S6_4

    School: U. Houston

    6.4 Homogeneous Systems with Constant Coefficients A homogeneous system with constant coefficients is a linear differential system having the form x1 = a11x1 + a12x2 + + a1n xn x2 = a21x1 + a22x2 + + a2n xn . . . . . . xn = an1 x1 + an2 x2 +

  • 6 Pages ex62
    Ex62

    School: U. Houston

    Exercise Set 6.2: Double-Angle and Half-Angle Formulas Answer the following. 1. 6. Derive the formula for tan ( 2 ) by using a sum formula on tan ( + ) . (a) Evaluate sin 2 . 6 (b) Evaluate 2sin . 6 7. The sum formula for cosine

  • 5 Pages S63
    S63

    School: U. Houston

    6.3 Homogeneous Systems In this section we give the basic theory for linear homogeneous systems. This theory is simply a repetition results given in Sections 3.2 and 6.1, phrased this time in terms of the system x1 x2 . . . xn or x = A(t)x. (H) 0

  • 12 Pages S61
    S61

    School: U. Houston

    CHAPTER 6 Linear Differential Systems 6.1 Higher-Order Linear Differential Equations This section is a continuation of Chapter 3. As you will see, all of the "theory" that we developed for second-order linear differential equations carries over, ess

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