Elementary Differential Equations |
Contents
INTRODUCTION | 1 |
FIRST ORDER DIFFERENTIAL EQUATIONS | 18 |
5 | 106 |
Copyright | |
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Common terms and phrases
a₁ arbitrary constants assume asymptotically stable auxiliary equation Bessel equation compute consider constant coefficients corresponding critical point damping defined determine discussed dx/dt dy/dt equation of order equation with constant Euler equation Euler method example formula error function f fundamental set Hence homogeneous equation indicial equation initial conditions initial value problem integral interval Laplace transform linear system linearly independent linearly independent solutions matrix motion nonlinear obtain order equation order linear equation particular solution polynomial positive integer power series r₁ and r₂ radius of convergence recurrence relation reduction of order regular singular point result satisfying the initial second order linear second solution Section series solution Show side of Eq solution of Eq Substituting Taylor series Theorem trajectories variable vector x₁ x²q(x x²y xp(x y₁ y₁(x y₂(x yn+1