What is the difference between parabolic cylinder and hyperbolic cylinder?

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$Although this question is not in your grade but here is the answer . The parabolic cylinder has equation, x^{2} + 2 ay = 0 and hyperbolic culinder has equation, {(\frac{x}{a})}^{2} - {(\frac{y}{b})}^{2} = - 1 And these both imaginary elliptical cylinders .$

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What is the difference between parabolic cylinder and hyperbolic cylinder?

Although this question is not in your grade but here is the answer.The parabolic cylinder has equation, x2+2ay=0and hyperbolic culinder has equation, xa2-yb2=-1And these both imaginary elliptical cylinders.

$Although this question is not in your grade but here is the answer . The parabolic cylinder has equation, x^{2} + 2 ay = 0 and hyperbolic culinder has equation, {(\frac{x}{a})}^{2} - {(\frac{y}{b})}^{2} = - 1 And these both imaginary elliptical cylinders .$