Fundamental Mathematics/Arithmetic/Differential Equation/2nd ordered differential equation

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2nd ordered differential equation[edit | edit source]

2nd ordered differential equation has the general form

Solving equation[edit | edit source]


The solution of the 2nd ordered polynomial equation above

One real root
Two real roots
One complex roots

Summary[edit | edit source]

Equation  has roots 
One real root .  . 
Two real roots .   . 
One complex roots .  . 

Application[edit | edit source]

RLC series circuit at equailibrium

Laplace transform yields Laplace equation below

The roots of Laplace equation

One real root
Two real roots
One complex roots