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Beliebt Rechnen >

(8-r^2)dr=r^3sin(θ)dθ,r(0)=2

Lösung

(8 - r^{2}) d r = r^{3} sin (θ) d θ, r (0) = 2

Lösung

r (θ) = \frac{1}{2 cos ( θ ) + c _{1}}, r (θ) = - \frac{1}{2 cos ( θ ) + c _{1}}

Schritte zur Lösung

(8 - r (θ)^{2}) d r (θ) = r (θ)^{3} sin (θ) d θ

Solve Bernoulli ODE:

r (θ) = \frac{1}{2 cos ( θ ) + c _{1}}, r (θ) = - \frac{1}{2 cos ( θ ) + c _{1}}

r (θ) = \frac{1}{2 cos ( θ ) + c _{1}}, r (θ) = - \frac{1}{2 cos ( θ ) + c _{1}}

Graph

Beliebte Beispiele

integral of 4x^3-6x^2+3

\int 4 x^{3} - 6 x^{2} + 3 d x

integral of 19tan^5(x)sec^4(x)

\int 19 tan^{5} (x) sec^{4} (x) d x

integral of 4x-2x^2

\int 4 x - 2 x^{2} d x

f(z)=sqrt((z-8)/(z+8))

f (z) = \frac{z - 8}{z + 8}

limit as x approaches 3 of 5/(x^2-9)

x \to 3 lim (\frac{5}{x ^{2} - 9})