A simple differential equation.
>
|
|
| (1) |
Verify by differentiating.
The equivalent equation, as a function:
>
|
|
| (3) |
The unapply command can convert from function to operator.
>
|
|
A more complex equation, using initial conditions.
>
|
|
| (7) |
>
|
|
| (8) |
| (9) |
| (10) |
An example with non-linear DE's:
>
|
|
The large oscillation pendulum equation, with initial conditions:
>
|
|
| (13) |
| (14) |
Verify the derivative.
>
|
|
A complex integration.
>
|
|
| (16) |
>
|
|
When there are no derivatives, the equation can be written with RootOf or solved:
>
|
|
An example where the equation can be simplified.
>
|
|
| (20) |
| (21) |
>
|
|
| (22) |
| (23) |