D^2y-y=5+x^2

Lösung

D^{2} y - y = 5 + x^{2}

(h, k) = (0, \frac{5}{D ^{2} - 1}), p = \frac{D ^{2} - 1}{4}

Schritte zur Lösung

D^{2} y - y = 5 + x^{2}

Rewrite

D^{2} y - y = 5 + x^{2}

in the standard form:

4 \cdot \frac{D ^{2} - 1}{4} (y - \frac{5}{D ^{2} - 1}) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, \frac{5}{D ^{2} - 1}), p = \frac{D ^{2} - 1}{4}

16 x^{2} + 72 x - 112 y = - 221

- x^{2} + 12 x + 24 y = 132

xx = 4 + 3 y

y^{2} - 10 y - 4 x + 25 = 0

x \geq y^{2}