Differential Equations |
Contents
FirstOrder and Simple HigherOrder Differential | 20 |
3 | 49 |
Applications of FirstOrder Differential Equations | 60 |
Copyright | |
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applied approximation arbitrary constants assume axis boundary-value problem c₁ c₂ characteristic equation coefficients complete solution converges decimal places defines a solution denote Differential Equations direction field domain dt dt dx/dt dy dx dy/dx EXAMPLE Figure Find a particular formula Fourier series Fourier sine series ft/sec function F function given functions defined hence initial-value problem integral curve interval Laplace transform linear linearly independent mathematical motion numerical method obtain orbit Ordinary Differential Equations orthogonal particular solution Picard's Picard's Theorem power series Problem List r₁ r₂ Reference Runge-Kutta method satisfies Section Show simple harmonic motion sin² solution given solution of D² solution of Ly(x Solve the initial-value ẞx Taylor series temperature Theorem unique solution variables velocity Wronskian x₁ x²y yields zero