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Definitions Elimination of Arbitrary Constants 1 Examples of differential equations
The elimination of arbitrary constants
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2xy dy algebraic arbitrary constants Arcsin Arctan auxiliary equation Bernoulli equation Chapter condition constant coefficients cos2 cosh dependent variable derivatives determine differential equation differential operators Draw the figure dy dx electric eliminated equa equal roots equation of Ex equation of order equipotential curves exact equation Example EXERCISES In Exs family of curves follows ft per sec held fixed Hence homogeneous functions homogeneous of degree hyperbolic functions integrating factor l)dx l)dy left member linear equation linearly independent method motion nonelementary integrals obtain orthogonal trajectories Parabolas parameter parametric equations problem result right member RL circuit satisfy sec2 Section Show sin2 sing singular solution sinh solution of equation Solve the equation spring tanh temperature theorem thermometer reading tion write Wronskian x)dx x)dy x2 dy y)dx y)dy yields zero