```python
from sympy import *
init_printing()
x=symbols("x")
a=Integral(cos(x)*exp(x),x)
a
```


```python
x,y=symbols("x y")

expr=x+2*y
expr
```


```python
type(x)
```




    sympy.core.symbol.Symbol




```python
expr+1
```


```python
expr-x
```


```python
x*expr
```


```python
expanded_expr=expand(_)
expanded_expr
```


```python
factor_expr=factor(_)
factor_expr
```


```python
x,t,z,nu=symbols("x t z nu")
```


```python
diff(cos(x**2)/x,x)
```


```python
print(_)
```

    -2*sin(x**2) - cos(x**2)/x**2



```python
Derivative(cos(x**2)/x,x)
```


```python
integrate(exp(-x**2),(x,-oo,+oo))
```


```python
limit((cos(x+t)-cos(x))/t,t,0)
```


```python
abs(sin(x))/sin(x)
```


```python
limit(_,x,0)
```


```python
limit(abs(sin(x))/sin(x),x,0,"+")
```


```python
limit(abs(sin(x))/sin(x),x,0,"-")
```


```python
Integral(cos(z)*sin(nu),z,nu,t)
```


```python
r,phi,theta,R=symbols("r phi theta R")
```


```python
Integral(r**2*sin(theta),(theta,0,pi),(phi,0,2*pi),(r,0,R))
```


```python
Limit(exp(cos(t**2)),t,5,"+")
```


```python
solve(x**2-2,x)
```


```python
Eq(x**2-2,0)
```


```python
solve(_,x)
```

### Ecuacion diferencial!!!

$y''-y=e^t$


```python
y=Function("y")
y(t)
n=symbols("n")
```


```python
Derivative(y(t),t)
```


```python
Derivative(y(t),(t,n))
```


```python
Eq(Derivative(y(t),(t,2))-y(t),exp(t))
```


```python
dsolve(_,y(t))
```


```python
Matrix([[0,-I],[I,0]])
```




$\displaystyle \left[\begin{matrix}0 & - i\\i & 0\end{matrix}\right]$




```python
_.eigenvals()
```


```python
Eq(4*t*y(t).diff(t,t)+y(t).diff(t)-y(t),0)
```


```python
dsolve(_)
```


```python
print(latex(_))
```

    y{\left(t \right)} = t^{\frac{3}{8}} \left(C_{1} J_{\frac{3}{4}}\left(i \sqrt{t}\right) + C_{2} Y_{\frac{3}{4}}\left(i \sqrt{t}\right)\right)


b98365ebf86f9e6a9fb89c948d29c040935d2144
ipynb
Jupyter Notebook
IntroToSciPy/SymPy/SymPyTutorial/chibolo meppo.ipynb
migueloayza/LearningPython
00fe5e0072d16cb5caa10f546d2708b1beb8c30b
MIT
IntroToSciPy/SymPy/SymPyTutorial/chibolo meppo.ipynb
migueloayza/LearningPython
00fe5e0072d16cb5caa10f546d2708b1beb8c30b
MIT
IntroToSciPy/SymPy/SymPyTutorial/chibolo meppo.ipynb
migueloayza/LearningPython
00fe5e0072d16cb5caa10f546d2708b1beb8c30b
MIT
Qwen/Qwen-72B
1. YES
2. YES