The differential equation representing the family of curves [Tex]{y^2} = 2c\left( {x + \sqrt c } \right)[/Tex] where [Tex]c>0,[/Tex] is a parameter, is of order and degree as follows:
order [Tex]1,[/Tex] degree [Tex]2[/Tex]
order [Tex]1,[/Tex] degree [Tex]1[/Tex]
order [Tex]1,[/Tex] degree [Tex]3[/Tex]
order [Tex]2,[/Tex] degree [Tex]2[/Tex]
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Differential Equations and Solutions