Differential Equations |
Contents
CHAPTER ONE PRELIMINARY CONCEPTS 1 Introduction | 1 |
Ordinary differential equations | 2 |
Solution of a differential equation3 | 3 |
Copyright | |
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A₁ approximate value arbitrary constant Article auxiliary equation c₁ C₁e c₁x c₂ C₂e coefficients completely integrable derivatives dy dx e²x EXAMPLE Exercise expression find the particular formulas gallons given Hence identically independent variable indicial equation indicial exponent initial conditions integral curve integrating factor isogonal trajectories k₁ k₂ Laplace transformation left member m₁ method obtained orthogonal trajectories parabolas partial differential equations particular integral particular solution Problems radius vector regular singular point right member roots satisfy sin x sin² singular solution solution y(x Solve the equation substitution tangent tank temperature Theorem tion transforms u₁ wo² Wronskian x-axis x-intercept x₁ x²)y x²y y₁ y² dx Yn+1 zero