Differential equations/Overview

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Differential Equation[edit | edit source]

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 equations[edit | edit source]

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

Ordinary differential equation[edit | edit source]

1st order ordinary differential equation[edit | edit source]

1st order ordinary differential equation of general form

Rearrange equation above,

. With,

Root of equation

2nd order ordinary differential equation[edit | edit source]

Roots of differential equations

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

With



Go to the School of Mathematics

see also[edit | edit source]