Akademik Dersler - İçerik

Classify a differential equations.
Express an ordinary differantial equation.
Express a partial differantial equation.
Express the order of an ordibary differential equation.
Expresses an initial value problem.
Express the general form of a linear ordinary differential equation of order n.
Express the solution concept of a differential equation.
Express an explicit solution of an ordinary differential equation of order n.
Express an implicit function.
Express an implicit solution of an ordinary differential equation of order n.
Express a one-parameter solutions of a differential equation.
Express basic existence and uniqueness theorems of ordinary differential equations.
Express Peano theorem.
Express Lipschitz condition.
Express Picard theorem.
Express Picard iterative process.
Express solution methods of the first order ordinary differential equations.
Express an exact differential equation.
Express the integral factor concept.
Express the solution method an exact differential equation.
Express an seperable differential equations.
Express homogenous differential equations.
Express homogenous functions of degree n.
Convert an homogenous differential equation to seperable equation.
Determine the integral factor of first order linear differential equations.
Convert a Bernoulli equation to a linear equation.
Express the applications of first order equations.
Calculate orthogonal and oblique trajectories of a given one-parameter family of curves.
Apply Newton's second law to a freely falling body.
Express the decay equation of a mount of substance with respect to time.
Express the growth equation of a population with respect to time.
Express the equation of a mixture problem.
Express basic existence and uniqueness theorems of linear differential equations.
Express basic existence theorem.
Express the definition of linear independent functions and linear dependent functions.
Determine the linear independency of solutions of a homogenous equations using Wronskian.
Express the general solution of a homogenous equation.
Express reduction of order method.
Express general solution of non homogenous equation.