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Beliebt Rechnen >

(dr)/(dθ)=(r^2+9rθ^2)/(3θ^3)

Lösung

\frac{d r}{d θ} = \frac{r ^{2} + 9 r θ ^{2}}{3 θ ^{3}}

Lösung

r = \frac{3 θ ^{3}}{- θ + c _{1}}

Schritte zur Lösung

\frac{d r}{d θ} = \frac{r ^{2} + 9 r θ ^{2}}{3 θ ^{3}}

Solve Bernoulli ODE:

r = \frac{3 θ ^{3}}{- θ + c _{1}}

r = \frac{3 θ ^{3}}{- θ + c _{1}}

Graph

Beliebte Beispiele

integral from 0 to 1 of 9cos(3x)

\int_{0}^{1} 9 cos (3 x) d x

integral of 1/((x+3)sqrt(x^2+6x))

\int \frac{1}{( x + 3 ) x ^{2} + 6 x} d x

derivative f(x)= x/7-1

d er i v a t i v e f (x) = \frac{x}{7} - 1

integral of (3x-2)/(x^2-x-3)

\int \frac{3 x - 2}{x ^{2} - x - 3} d x

integral of sqrt(14x-x^2)

\int 14 x - x^{2} d x