Akademik Dersler - İçerik

Express solution methods of higher-order linear differential equations.
Calculate characteristic polynomial of a constant coefficients homogenous linear equation.
Express general solution of the equation with respect to roots of its characteristic polynomial.
Find the solution of a nonhomogenous equation using undetermined coefficients method.
Find the solution of a second order nonhomogenous equation using variation of parameters method.
Express the applications of second order constant coefficients linear differential equations.
Find the equation of spring-mass system.
Explain the obtained solution of an equation of spring-mass system.
Find the equation of a simple pendulum.
Explain the obtained solution of an equation of simple pendulum.
Solve the electric circuit problems.
Express series solution of linear differential equations.
Express the properties of power series.
Define analytical function concept.
Calculate the power series solution of a differential equation.
Classify the singular points of an equation.
Calculate the series solution about singular points of a equation using the method of Frobenius.
Express Bessel's equation and Bessel functions.
Express solution methods of linear differential equation systems.
Express the operator method.
Convert a constant coefficients homogenous equation to corresponding matrix equation.
Express concept of eigenvalue and eigenvector.
Express the general solution of a equations system.
Express the basic properties of Laplace transform.
Express the definition of Laplace transform.
Calculate the Laplace transforms of elementary functions.
Express the properties of inverse Laplace transform.
Calculate the solution of a constant coefficient linear equation using Laplace transform.