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    Calculus - Differential Equations - Vectors - Circle Equati

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    Question (1)
    First find a general solution of the differential equation dy/dx=3y. Then find a particular solution that satisfies the initial condition that y(1) = 4

    Question (2)
    Solve the initial value problem dy/dx=y^3 , y(0) = 1

    Question (3)
    Find the centre and radius of the circle described in the equation
    2x2 + 2y2 - 6x + 2y = 3

    Question (4)
    Given a = 2 i + 3 j , b = 3 i + 5 j , and c = 8 i + 11 j express c in the form ra + sb where r and s are scalars

    Question (5)
    Given a = < 4 , - 3 , - 1 > and b = < 1 , 4 , 6 > find a × b

    For detailed description of the questions in mathematical font and format, please see the attached question file.

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    https://brainmass.com/math/basic-calculus/differential-equations-vectors-circle-equation-119514

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    Solution Preview

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    Solution (1)
    The general solution is y = c e3x
    The Particular solution is y = 0.199148 e3x

    NOTE: For detailed step by step solutions of all these question, please see the attached solution file.

    Solution (2)
    First we find ...

    Solution Summary

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