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  • Pregunta: Find general solutions of the linear systems in Problems 1 through 20. If initial conditions are given, find the particular solution that satisfies them. In Problems 1 through 6, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system.x′=x+9y,y′=−2x−5y;x(0)=3,y(0)=2

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    Solución
    Paso 1

    6. Given the system of linear equations:



    x′=x+9y


    y′=−2x−5y

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Texto de la transcripción de la imagen:
Find general solutions of the linear systems in Problems 1 through 20. If initial conditions are given, find the particular solution that satisfies them. In Problems 1 through 6, use a computer system or graphing calculator to construct a direction field and typical solution curves for the given system. x′=x+9y,y′=−2x−5y;x(0)=3,y(0)=2