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Definitions Elimination of Arbitrary Constants 1 Examples of differential equations
The elimination of arbitrary constants
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algebraic arbitrary constants arctan auxiliary equation boundary condition boundary value problem Chapter circuit complementary function constant coefficients cos2 cosh damping dependent variable derivatives determine differential operators electric electromotive force eliminated equal roots equation 11 equation 9 equation of Ex equation of order equipotential curves exact equation Example EXERCISES In Exs exponential shift family of curves find a particular FlGURE follows ft per sec graph Hence hyperbolic functions integrating factor l)dx l)dy left member linear differential equation linear equation linearly independent ln sec method motion obtain original equation orthogonal trajectories parameter parametric equations particular solution result RLC circuit sec2 Show sin2 sing singular solution sinh solution of equation Solve the equation spring steady-state tangent tanh tion velocity weight write x-axis y)dx y)dy yields zero