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Beliebt Rechnen >

y^'=(3x^2sqrt(16+y^2))/y

Lösung

y^{^{'}} = \frac{3 x ^{2} 16 + y ^{2}}{y}

Lösung

y = x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16, y = - x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16

Schritte zur Lösung

y^{'} (x) = \frac{3 x ^{2} 16 + y ^{2}}{y}

Solve separable ODE:

y = x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16, y = - x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16

y = x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16, y = - x^{6} + 2 c_{1} x^{3} + c_{1}^{2} - 16

Graph

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