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Beliebt Rechnen >

y^5(dy)/(dx)=5x^2y^6-15x^2

Lösung

y^{5} \frac{d y}{d x} = 5 x^{2} y^{6} - 15 x^{2}

Lösung

y = 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}, y = - 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}

Schritte zur Lösung

y^{5} \frac{d y}{d x} = 5 x^{2} y^{6} - 15 x^{2}

Solve separable ODE:

y = 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}, y = - 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}

y = 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}, y = - 6 e^{10 x^{3} + c_{1}} + 33 \cdot 3^{\frac{2}{3}}

Graph

Beliebte Beispiele

y^'cos(y)+2xsin(y)=2x

y^{^{'}} cos (y) + 2 x sin (y) = 2 x

(dy)/(dx)=cos(x)-y*cos(x)

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

y^{^{'}} - a^{2} y = 0

(dy)/(dx)= x/(y+x^2y)

\frac{d y}{d x} = \frac{x}{y + x ^{2} y}

(dy)/(dx)=x(1+y)^2

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