Fundamental Mathematics/Arithmetic/Differential Equation

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Differential Equation[edit | edit source]

Equation has the general form

Polynomial differential equation[edit | edit source]

1st ordered differential equation[edit | edit source]

Differential equation

. With

For 1st ordered differential equation of the general form

In summary,1st ordered differential equation of the general form

Solution of the 1st ordered differential equation above is

2nd ordered differential equation[edit | edit source]

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



The solution of the 2nd ordered polynomial equation above

One real root
Two real roots
One complex roots

Special differential equation[edit | edit source]

Equation  has roots 
with 




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