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Beliebt Rechnen >

(dr)/(dθ)=-pisin(piθ),r(2)=3

Lösung

\frac{d r}{d θ} = - π sin (π θ), r (2) = 3

Lösung

r = cos (π θ) + 2

Schritte zur Lösung

\frac{d r}{d θ} = - π sin (π θ)

Ersetze

\frac{d r}{d θ}

mit

r^{'} (θ)

r^{^{'}} (θ) = - π sin (π θ)

Wenn

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

dann

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

r = \int - π sin (π θ) d θ

\int - π sin (π θ) d θ = cos (π θ) + c_{1}

r = cos (π θ) + c_{1}

Wende die Anfangsbedingung an:

r = cos (π θ) + 2

r = cos (π θ) + 2

Graph

Beliebte Beispiele

derivative of log_{7}(3x^2+1)

\frac{d}{d x} (lo g_{7} (3 x^{2} + 1))

derivative sqrt(5+x^2)

d er i v a t i v e 5 + x^{2}

integral of e^{-st}sin(3t)

\int e^{- s t} sin (3 t) d t

limit as t approaches 0 of sin^t(t)

t \to 0 lim (sin^{t} (t))

derivative y=sin((pix)^4)

d er i v a t i v e y = sin ((π x)^{4})