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Beliebt Rechnen >

d/(dθ)(ln(y(θ)))=(θ-3)/(θcos(θ))

Lösung

\frac{d}{d θ} (ln (y (θ))) = \frac{θ - 3}{θ cos ( θ )}

Lösung

y (θ) = e^{\int \frac{θ - 3}{θ c o s ( θ )} d θ}

Schritte zur Lösung

\frac{d}{d θ} (ln (y (θ))) = \frac{θ - 3}{θ cos ( θ )}

Wenn

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

dann

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

ln (y (θ)) = \int \frac{θ - 3}{θ cos ( θ )} d θ

ln (y (θ)) = \int \frac{θ - 3}{θ cos ( θ )} d θ

Isoliere

y (θ) : y (θ) = e^{\int \frac{θ - 3}{θ c o s ( θ )} d θ}

y (θ) = e^{\int \frac{θ - 3}{θ c o s ( θ )} d θ}

Beliebte Beispiele

y^'=ty^{1/2},y(0)=0

y^{^{'}} = t y^{\frac{1}{2}}, y (0) = 0

(dy)/y =x^{13}dx

\frac{d y}{y} = x^{13} d x

(dy)/(dx)y=sqrt(9x+7)

\frac{d y}{d x} y = 9 x + 7

y^'=(e^{4x+y}-sec(7x)e^y)

y^{^{'}} = (e^{4 x + y} - sec (7 x) e^{y})

y^'+((1+y^2)/y)sin(x)=0,y(0)=2

y^{^{'}} + (\frac{1 + y ^{2}}{y}) sin (x) = 0, y (0) = 2