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Beliebt Rechnen >

(dy)/(dx)=(sqrt(y^2-9)),y(1)=4

Lösung

\frac{d y}{d x} = (y^{2} - 9), y (1) = 4

Lösung

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

Schritte zur Lösung

\frac{d y}{d x} = (y^{2} - 9)

Solve separable ODE:

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

y = - \frac{7 - 4}{2 e ^{x - 1}} - \frac{23 ( 7 - 4 ) e ^{x - 1}}{18} + \frac{4 7 e ^{x - 1}}{7 + 4}

Graph

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