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x2*y(x2).diff(x2).diff(x2)=(y(x2).diff(x2))*2 equation

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Numerical solution:

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The solution

You have entered [src]
                          //x2  for 0 = 1\  
     //x2  for 0 = 1\     ||             |  
x2*y*|<             | = y*|<1   for 1 = 1|*2
     \\0   otherwise/     ||             |  
                          \\0   otherwise/  
$$x_{2} y \left(\begin{cases} x_{2} & \text{for}\: 0 = 1 \\0 & \text{otherwise} \end{cases}\right) = 2 y \left(\begin{cases} x_{2} & \text{for}\: 0 = 1 \\1 & \text{for}\: 1 = 1 \\0 & \text{otherwise} \end{cases}\right)$$
The graph
Rapid solution [src]
y1 = 0
$$y_{1} = 0$$
y1 = 0
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
0
$$0$$
=
0
$$0$$
0
Numerical answer [src]
y1 = 0.0
y1 = 0.0