What is ((d^2y))/((dx^2))-a=0 ?

The solution to ((d^2y))/((dx^2))-a=0 is Parabola with (h,k)=(0,0),p= 1/(4a)

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((d^2y))/((dx^2))-a=0

\frac{( d ^{2} y )}{( d x ^{2} )} - a = 0

(h, k) = (0, 0), p = \frac{1}{4 a}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - a = 0

Rewrite

\frac{d ^{2} y}{d x ^{2}} - a = 0

in the standard form

4 \cdot \frac{1}{4 a} (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{1}{4 a}

x = \frac{1}{16} (y + 4)^{2} + 2

\frac{y - 2 ^{2}}{4} - \frac{x ^{2}}{9} = 1

3 y^{(2)} = 10 x

x = y^{2} - y - 1

(Y + 4)^{2} = X + 3

What is ((d^2y))/((dx^2))-a=0 ?
The solution to ((d^2y))/((dx^2))-a=0 is Parabola with (h,k)=(0,0),p= 1/(4a)