ODE Eq.| Types of critical points | Center | Saddle Point | Spiral Point | Node | CSIR NET,SET,GATE.

Описание: presented by,
SWAPNIL SHINDE
In this video I'm going to cover the complete topic of CRITICAL POINTS
that is NODE,SADDLE,SPIRAL,CENTER
and then about the stability of critical points
whether it is stable or unstable
if it stable is then we check whether this stablity is asymptotic or not
we are facing two kind of problem one is linear differential equations system and other non linear differential equations system
now the working step to find the critical pint is same for both the cases
in which we let right hand of the given equal to zero and solve both the equations then the points we are getting from this is called critical points
now we make a matrix of given system of equations
then our main aim is to find the eigen values of the matrix
and if get the eigen values
then we can easily determine the nature and stability of critical points

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