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Beliebt Rechnen >

d/(dθ)(ln(y(θ)))=(θ-8)/(θcos(θ))

Lösung

\frac{d}{d θ} (ln (y (θ))) = \frac{θ - 8}{θ cos ( θ )}

Lösung

y (θ) = e^{\int \frac{θ - 8}{θ c o s ( θ )} d θ}

Schritte zur Lösung

\frac{d}{d θ} (ln (y (θ))) = \frac{θ - 8}{θ cos ( θ )}

Wenn

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

dann

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

ln (y (θ)) = \int \frac{θ - 8}{θ cos ( θ )} d θ

ln (y (θ)) = \int \frac{θ - 8}{θ cos ( θ )} d θ

Isoliere

y (θ) : y (θ) = e^{\int \frac{θ - 8}{θ c o s ( θ )} d θ}

y (θ) = e^{\int \frac{θ - 8}{θ c o s ( θ )} d θ}

Beliebte Beispiele

(dy)/(dx)x=sec(y)

\frac{d y}{d x} x = sec (y)

(dy)/(dx)=x^2*y^{-2}

\frac{d y}{d x} = x^{2} \cdot y^{- 2}

y^'+3y=1,3sin(t)y(0)=6

y^{^{'}} + 3 y = 1, 3 sin (t) y (0) = 6

x^2(dy)/(dx)=sqrt(y)(4x+2)

x^{2} \frac{d y}{d x} = y (4 x + 2)

(dy)/(dx)y=11-2x^4-3x^3

\frac{d y}{d x} y = 11 - 2 x^{4} - 3 x^{3}