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Beliebt Rechnen >

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

Lösung

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

Lösung

y = 2 e^{\frac{x ^{3}}{3}} + 6

Schritte zur Lösung

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

Solve separable ODE:

y = 2 e^{\frac{x ^{3}}{3}} + 6

y = 2 e^{\frac{x ^{3}}{3}} + 6

Graph

Beliebte Beispiele

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

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

y^{1/2}y^'=1-y^{3/2}

y^{\frac{1}{2}} y^{^{'}} = 1 - y^{\frac{3}{2}}

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

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

(dy)/(dx)=((5x^6))/(y^2),y(0)=1

\frac{d y}{d x} = \frac{( 5 x ^{6} )}{y ^{2}}, y (0) = 1

e^{x^2}(dy)/(dx)+e^{x^2}2xy=e^{x^2}2x

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