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Beliebt Rechnen >

(dy)/(dx)= 1/(x(ln(2)))

Lösung

\frac{d y}{d x} = \frac{1}{x ( ln ( 2 ) )}

Lösung

y = \frac{ln ( x )}{ln ( 2 )} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{x ( ln ( 2 ) )}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x ( ln ( 2 ) )}

Wenn

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

dann

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

y = \int \frac{1}{x ln ( 2 )} d x

\int \frac{1}{x ln ( 2 )} d x = \frac{1}{ln ( 2 )} ln (x) + c_{1}

y = \frac{1}{ln ( 2 )} ln (x) + c_{1}

Vereinfache

y = \frac{ln ( x )}{ln ( 2 )} + c_{1}

Beliebte Beispiele

integral of ((2x+3))/(x+2)

\int \frac{( 2 x + 3 )}{x + 2} d x

derivative of cosh(x)

\frac{d}{d x} (cosh (x))

derivative of 7cos^2(x)

\frac{d}{d x} (7 cos^{2} (x))

f^{''}(x)=2,f^'(2)=5,f(2)=10

f^{^{''}} (x) = 2, f^{^{'}} (2) = 5, f (2) = 10

(\partial)/(\partial s)(7/s)

\frac{\partial}{\partial s} (\frac{7}{s})