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Beliebt Rechnen >

(dy)/(dx)=x^5y

Lösung

\frac{d y}{d x} = x^{5} y

Lösung

y = e^{\frac{x ^{6}}{6} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = x^{5} y

Solve separable ODE:

y = e^{\frac{x ^{6}}{6} + c_{1}}

y = e^{\frac{x ^{6}}{6} + c_{1}}

Graph

Beliebte Beispiele

d/(dt)((t^2+2)/(t^4-3t^2+1))

\frac{d}{d t} (\frac{t ^{2} + 2}{t ^{4} - 3 t ^{2} + 1})

derivative of 4sin^2(2x)

\frac{d}{d x} (4 sin^{2} (2 x))

(\partial)/(\partial y)(4x^3y^3-4)

\frac{\partial}{\partial y} (4 x^{3} y^{3} - 4)

y^{''}-2y^'-4y=0

y^{^{''}} - 2 y^{^{'}} - 4 y = 0

limit as x approaches 2 of 6x^3+1

x \to 2 lim (6 x^{3} + 1)