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Beliebt Rechnen >

y^'= x/(x-1),y(2)=5

Lösung

y^{^{'}} = \frac{x}{x - 1}, y (2) = 5

Lösung

y = x + ln (x - 1) + 3

Schritte zur Lösung

y^{'} (x) = \frac{x}{x - 1}

Wenn

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

dann

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

y = \int \frac{x}{x - 1} d x

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

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

Wende die Anfangsbedingung an:

y = x + ln (x - 1) + 3

y = x + ln (x - 1) + 3

Graph

Beliebte Beispiele

integral of x/(sqrt(x^2-8x))

\int \frac{x}{x ^{2} - 8 x} d x

derivative of 5xsin(x)

\frac{d}{d x} (5 x sin (x))

derivative \sqrt[3]{x-2}

d er i v a t i v e 3 x - 2

derivative of 3x^2-2x+4

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

(\partial)/(\partial y)(y(1-x^2))

\frac{\partial}{\partial y} (y (1 - x^{2}))