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x.diff(x)+y=0 equation

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Numerical solution:

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The solution

You have entered [src]
//x  for 0 = 1\        
||            |        
|<1  for 1 = 1| + y = 0
||            |        
\\0  otherwise/        
$$y + \begin{cases} x & \text{for}\: 0 = 1 \\1 & \text{for}\: 1 = 1 \\0 & \text{otherwise} \end{cases} = 0$$
The graph
Rapid solution [src]
y1 = -1
$$y_{1} = -1$$
y1 = -1
Sum and product of roots [src]
sum
-1
$$-1$$
=
-1
$$-1$$
product
-1
$$-1$$
=
-1
$$-1$$
-1
Numerical answer [src]
y1 = -1.0
y1 = -1.0