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Differential EquationEdit

For any differential equation has the general form

 

Solving differential equation

 
 
 
  with  

Similarly,

 
  with  

In general,

Equation General Form Root of equation
Differential equation    
Differential equation    
Differential equation    
Differential equation    

Ordered differential equationsEdit

Equation General Form Root of equation
1st order differential equation    
2nd order differential equation     . With,  
nth order differential equation     . With,  

Ordinary differential equationEdit

1st order ordinary differential equationEdit

1st order ordinary differential equation of general form

 

Rearrange equation above,

  . With,  

Root of equation

 

2nd order ordinary differential equationEdit

 
 
 
 
 
 
 

Roots of differential equations

  • 1 real root .   .  
  • 2 real roots .   .  
  • 2 complex roots .   .  
 

With

 
 



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see alsoEdit