De Linear Systems

## Description

Here is Sage cell that plots $\sin x$ for $-10 \leq x \leq 10$.

## Sage Cell

#### Code

```
t = var('t')
x = function('x')(t)
y = function('y')(t)
@interact
def _(f = input_box(default = 3*x - 2*y),
g = input_box(default = x + y),
t_start = input_box(default = 0), x_start = input_box(default = 1), y_start = input_box(default = 1)):
de1 = diff(x,t) == f
de2 = diff(y,t) == g
sol = desolve_system([de1, de2], [x,y], ics=[t_start, x_start, y_start])
sol[0].show()
sol[1].show()
html(r"$\displaystyle\frac{dx}{dt} = %s$" %latex(f))
html(r"$\displaystyle\frac{dy}{dt} = %s$" %latex(g))
```

## Options

#### Option

Adding axes labels

#### Code

`plot(sin(x),-10,10)`

## Tags

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Date: 21 Dec 2019 15:21

Submitted by: Tom Judson