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Beliebt Rechnen >

y^3(x^4+1)(dy)/(dx)-x^3(y^4+1)=0

Lösung

y^{3} (x^{4} + 1) \frac{d y}{d x} - x^{3} (y^{4} + 1) = 0

Lösung

y = 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1, y = - 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1

Schritte zur Lösung

y^{3} (x^{4} + 1) \frac{d y}{d x} - x^{3} (y^{4} + 1) = 0

Solve separable ODE:

y = 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1, y = - 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1

y = 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1, y = - 4 e^{4 c_{1}} x^{4} + e^{4 c_{1}} - 1

Graph

Beliebte Beispiele

y^{^{'}} + y^{2} = 3

(dy}{dx}=\frac{x^2)/y ,y(0)=2

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

y^'=(xy^2)/8+y^2

y^{^{'}} = \frac{x y ^{2}}{8} + y^{2}

(dy)/(dx)=x^2(y-6),y(0)=8

\frac{d y}{d x} = x^{2} (y - 6), y (0) = 8

(dy)/(dx)-2cos(x)y=0

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