Recent content by noob^n

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    Differential Eq. Initial Value Problem (separable/partial fractions/hyperbolic)

    But because x is the dependent variable, we don't have to worry about crazy x values that cause errors... as all values of t (-inf, inf) will make x behave nicely. If the initial values didn't agree with the restraints on A then id agree there's a problem, but because they do I'm still not...
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    Differential Eq. Initial Value Problem (separable/partial fractions/hyperbolic)

    i thought because i conditioned A to be greater than or equal to zero, the RHS would stay positive, and i could drop the absolutes on the LHS... is there something wrong with my logic there? all i really need to find is a suitable x(t) before i start subbing things into a maclaurin series...
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    Differential Eq. Initial Value Problem (separable/partial fractions/hyperbolic)

    Homework Statement dx/dt = 2*(1-x^2) with x(0)=0 Obtain the analytic solution to the IVP. Then, obtain the terms in the Taylor series up to and including the t^5 term. Note: should be possible to express x(t) in terms of hyperbolic functions. The Attempt at a Solution...
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    Express tan(2x) in terms of sin(x) alone.

    Homework Statement Express tan(2x) in terms of sin(x) alone. assuming: pi < x < 3pi/2 Homework Equations Trig identities The Attempt at a Solution sin2x/cos2x switched for double angle equations; (2sinx*cosx)/((cosx)^2 - (sinx)^2) then wherever i go with it, it leads...