Akademik Dersler - İçerik

Explain the concept of differential equation.
Classifies the differential equations with respect to their order and linearity.
Explains the meaning of solution of a differential equation.
Expresses the existence-uniqueness theorem of differential equations.
solve first-order ordinary differential equations.
Solves exact differential equations; finds a solution for a differential equation which is not exact by finding the integral factor.
Solves separable, homogen and linear differential equations.
Solves Bernoulli differential equations.
find solution of higher-order linear differential equations.
Expresses the basic existence theorem for higher- order linear differential equations.
Defines the characteristic function concept for homogeneous differential equations with constant coefficients and obtains the solutions of the equations.
Applies the method of undetermined coefficients to solve the non-homogeneous linear differential equations with constant coefficients.
Uses the method "variations of parameters" to find to solution of higher-order linear differential equations with variable coefficients.
Obtains the solution for Cauchy-Euler equations by using the substitution of variable
solve systems of linear differential equations.
Determines the type of a linear differential equation systems.
Solves the 2x2 type homogeneous linear systems with constant coefficients.
use the Laplace transform in finding the solution of linear differential equations.
Explains basic properties of Laplace transform.
Expresses the inverse Laplace transform.
Finds Laplace transforms solution of linear differential equation with constant coefficients.