The solution of the differential equation \(y = px + \sqrt {4 + {p^2}} \) is

1
\({\left( {y{\rm{ }} - {\rm{ }}Cx} \right)^2} + {\rm{ }}{C^2} = {\rm{ }}0\)
2
\({\left( {y{\rm{ }} - {\rm{ }}Cx} \right)^2} + {\rm{ }}{4C^2} = {\rm{ }}0\)
3
\({\left( {y{\rm{ }} - {\rm{ }}Cx} \right)^2} - {\rm{ }}{C^2} = {\rm{ }}4\)
4
\({\left( {y{\rm{ }} - {\rm{ }}Cx} \right)^2} - {\rm{ }}{4C^2} = {\rm{ }}0\)

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