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Beliebt Rechnen >

(dy)/(dx)y=ln((x^5+7)^{2pi})

Lösung

\frac{d y}{d x} y = ln ((x^{5} + 7)^{2 π})

Lösung

y = 2 \cdot \int 2 π ln (x^{5} + 7) d x, y = - 2 \cdot \int 2 π ln (x^{5} + 7) d x

Schritte zur Lösung

\frac{d y}{d x} y = ln ((x^{5} + 7)^{2 π})

Solve separable ODE:

y = 2 \cdot \int 2 π ln (x^{5} + 7) d x, y = - 2 \cdot \int 2 π ln (x^{5} + 7) d x

y = 2 \cdot \int 2 π ln (x^{5} + 7) d x, y = - 2 \cdot \int 2 π ln (x^{5} + 7) d x

Beliebte Beispiele

(dy)/(dx)=(x^2)/(y+3)

\frac{d y}{d x} = \frac{x ^{2}}{y + 3}

1/((x+7))(dx)/(dy)=e^{(3x-2y)}

\frac{1}{( x + 7 )} \frac{d x}{d y} = e^{(3 x - 2 y)}

y^'+(10)/(40+2t)y=0

y^{^{'}} + \frac{10}{40 + 2 t} y = 0

(1-t)(dy)/(dt)-y=0

(1 - t) \frac{d y}{d t} - y = 0

(dx)/(2x)+(dy)/(2y)=0

\frac{d x}{2 x} + \frac{d y}{2 y} = 0