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Beliebt Rechnen >

(dr)/(dθ)=(r^2+10rθ)/(5θ^2)

Lösung

\frac{d r}{d θ} = \frac{r ^{2} + 10 r θ}{5 θ ^{2}}

Lösung

r = \frac{5 θ ^{2}}{- θ + c _{1}}

Schritte zur Lösung

\frac{d r}{d θ} = \frac{r ^{2} + 10 r θ}{5 θ ^{2}}

Solve Bernoulli ODE:

r = \frac{5 θ ^{2}}{- θ + c _{1}}

r = \frac{5 θ ^{2}}{- θ + c _{1}}

Graph

Beliebte Beispiele

y^{''}-18y^'+77y=0

y^{^{''}} - 18 y^{^{'}} + 77 y = 0

integral of x^{-2}ln(x)

\int x^{- 2} ln (x) d x

tangent y=(x+1)/(5-x),(7,-4)

t an g e n t y = \frac{x + 1}{5 - x}, (7, - 4)

limit as x approaches-2 of (x+1)/(x+2)

x \to - 2 lim (\frac{x + 1}{x + 2})

fläche y=sqrt(x),y=0,x=25

a re a y = x, y = 0, x = 25