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    Polar Coordinates : Solving Derivatives and Circuit Problem

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    (a) By making the substitution y = z/x^4, or otherwise, reduce the equation
    dy/dx +4y/x =sinx/x2

    to an equation in which the variables are separable.

    Solve the equation if y = 0 when x = pi/2

    (b) In a circuit

    and i=0 when t=0.

    Find i in terms of t and deduce that as t ?>infinity i ?> I = E/R (E,R, K positive constants).
    If i=2/3I when t=t0 show that when t=2t I=8/9I

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    Solution Summary

    A circuit problem is solved by using integration of derivatives. The substitution to reduce the equations of a function are provided.