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Beliebt Rechnen >

(x+1)(dy)/(dx)=x+6

Lösung

(x + 1) \frac{d y}{d x} = x + 6

Lösung

y = 5 ln (x + 1) + x + c_{1}

Schritte zur Lösung

(x + 1) \frac{d y}{d x} = x + 6

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

(x + 1) y^{^{'}} (x) = x + 6

Isoliere

y^{'} (x) : y^{'} (x) = \frac{x + 6}{x + 1}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{x + 6}{x + 1} d x

\int \frac{x + 6}{x + 1} d x = 5 ln (x + 1) + x + c_{1}

y = 5 ln (x + 1) + x + c_{1}

Graph

Beliebte Beispiele

derivative of cotan(2x)

\frac{d}{d x} (co tan (2 x))

integral of 1/(7+9x^2)

\int \frac{1}{7 + 9 x ^{2}} d x

(2x-1)dx+(3x+7)dy=0

(2 x - 1) d x + (3 x + 7) d y = 0

derivative of 1/(In(x+2))

\frac{d}{d x} (\frac{1}{I n ( x + 2 )})

integral of [5x+2/(3x^5)]

\int [5 x + \frac{2}{3 x ^{5}}] d x