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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/      
$$y \left(\begin{cases} x & \text{for}\: 0 = 1 \\1 & \text{for}\: 1 = 1 \\0 & \text{otherwise} \end{cases}\right) = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
0
$$0$$
=
0
$$0$$
0
Rapid solution [src]
y1 = 0
$$y_{1} = 0$$
y1 = 0
Numerical answer [src]
y1 = 0.0
y1 = 0.0