Karteikarten
Linear Differential Equations
Karten in diesem Stapel (12)
- 1D'Alembert Formula
- 2Power Series - Radius of Convergence
- 3Method of Frobenius
- 4Discrimant classification b^2 - ac <, = , >>0 => PDE is Hyperbolic
=0 => PDE is Parabolic - 5—
- 6Reduction of orderIf we know one solution of a 2nd homogenous equation, y(x)
We look for a second solution of the for
y = y(x)u(x)
Note: u(x) will be simpler - 7Variation of Parameters y''+p1(x)y'+p0(x)y=q(x)if we know y=Ay(x)+By(x) is a solution of the homogenous equation, then look solutions of the form
y=A(x)y(x)+B(x)y(x)
Differentiate and set A'y1 + B'y2 = 0
Find y' and y'' and sub. back into the original equation. Giving A'y1' + B'y2' = q(x)
Solve for A(x), B(x) - 82nd Order Linear Homogeneous ODE w. Constant coefficients y''+ay'+by=0
- 9Legendre's Equation
- 10Bessel's Equations
- 11Laguerre's Equation
- 12Hermite's Equation
Informationen
- Beschreibung
- Karteikarten am Linear Differential Equations, erstellt von joe_fresen am 21/05/2014.
- Erstellt von
- joe_fresen · Mai 2014
- Aktualisiert
- 19 Feb 2016
- Aufrufe
- 30
- Bewertung