Complete Solution of L.D.E. of Second Order by method of changing the independent variable

Liner Differential Equation of Higher Order Constant Coefficients:

Determination of Complementary Function:

Particular Integral if Q=e^(ax+b):

Particular Integral if Q=sin(ax+b) or cos(ax+b):

Particular Integral if Q=x^m (polynomial function):

Particular if Q=e^(ax).f(x)articular if Q=e^(ax).f(x):

Particular Integral if Q=(x^m) cosax or (x^m)sinax:

Particular Integral: Q is any function of x:

Cauchy Euler Homogeneous Linear Differential Equation:

Method of Variation of Parametersfor solving linear differential equation of second order:

Particular Integral if Q=sin(ax+b) or cos(ax+b)
Determination of complementary function ( C.F. )

Linear differential equation of second order with variable coefficient

Method of Variation of Parameters
for solving linear differential equation of second order
Particular Integral if Q=x^m (polynomial function)Particular Integral if Q=polynomial function
Linear Differential Equation oParticular Integral if Q=x^m (polynomial function)f nth order with constant coefficients, General or Complete Solution, Auxiliary Solution, Particular Integral Complete Solution of L.D.E. of Second Order by method of changing the independent variable

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Dr. Sanjay Singh

[AVINASHPATHAK-qi]

your way of explanation is very understable
thank you sir

[kpawan]

Excellent Lecture with deep explanation, it will be useful for undergraduate students and also for competition like JAM.

[mathematicsbydr.sanjaysing]

Liner Differential Equation of Higher Order Constant Coefficients:

Determination of Complementary Function:

Particular Integral if Q=e^(ax+b):

Particular Integral if Q=sin(ax+b) or cos(ax+b):

Particular Integral if Q=x^m (polynomial function):

Particular if Q=e^(ax).f(x)articular if Q=e^(ax).f(x):

Particular Integral if Q=(x^m) cosax or (x^m)sinax:

Particular Integral: Q is any function of x:

Cauchy Euler Homogeneous Linear Differential Equation:

Method of Variation of Parametersfor solving linear differential equation of second order:

Complete Solution of L.D.E. of Second Order by method of changing the independent variable:

Solution of Simultaneous Linear Differential Equation:

Application of Differential Equations, Electrical Circuit (RLC Circuit):

[govindvarshney]

Sir ek baar bata dete p1 q1 r1 kaise aaye