Differential Equations |
Contents
PRELIMINARY CONCEPTS 1 Introduction | 1 |
Ordinary differential equations | 2 |
Solution of a differential equation | 3 |
Copyright | |
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A₁ arbitrary constant Article auxiliary equation C₁ C₁e c₂ C₂e C₂x coefficients curve defined derivatives dy dx e²x EXAMPLE Exercise expression formulas Fourier series function f(x gallons given Hence independent variable indicial equation indicial exponent initial conditions integral curve integrating factor interval isogonal trajectories k₁ k₂ Laplace transformation left member m₁ method nx dx obtained orthogonal trajectories parabolas partial differential equations particular integral particular solution Problems radius vector regular singular point result right member satisfy sin x sin² solution y(x Solve the equation substitution tangent tank temperature Theorem tion trajectories u₁ Wronskian x-axis x-intercept x₁ x²)y x²y y₁ y² dx Yn+1 zero π π