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1. Euler method (1st order derivative) example ( Enter your problem )
( Enter your problem )
  1. Formula & Example-1
  2. Example-2
  3. Example-3
 		Other related methods
  1. Euler method (1st order derivative)
  2. Runge-Kutta 2 method (1st order derivative)
  3. Runge-Kutta 3 method (1st order derivative)
  4. Runge-Kutta 4 method (1st order derivative)
  5. Improved Euler method (1st order derivative)
  6. Modified Euler method (1st order derivative)
  7. Taylor Series method (1st order derivative)
  8. Euler method (2nd order derivative)
  9. Runge-Kutta 2 method (2nd order derivative)
  10. Runge-Kutta 3 method (2nd order derivative)
  11. Runge-Kutta 4 method (2nd order derivative)
2. Example-2
(Previous example)		2. Runge-Kutta 2 method (1st order derivative)
(Next method)

3. Example-3


Find y(0.2) for `y'=-y`, `x_0=0, y_0=1`, with step length 0.1 using Euler method (1st order derivative)

Solution:
Given `y'=-y, y(0)=1, h=0.1, y(0.2)=?`

Euler method
`y_1=y_0+hf(x_0,y_0)=1+(0.1)f(0,1)=1+(0.1)*(-1)=1+(-0.1)=0.9`

`y_2=y_1+hf(x_1,y_1)=0.9+(0.1)f(0.1,0.9)=0.9+(0.1)*(-0.9)=0.9+(-0.09)=0.81`

`:.y(0.2)=0.81`

This material is intended as a summary. Use your textbook for detail explanation.
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2. Example-2
(Previous example)		2. Runge-Kutta 2 method (1st order derivative)
(Next method)


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