(dy)/(dx)(y^{-2})+y^{-1}=2x

Lösung

\frac{d y}{d x} (y^{- 2}) + y^{- 1} = 2 x

y = \frac{1}{2 x + 2 + c _{1} e ^{x}}

Schritte zur Lösung

\frac{d y}{d x} (y^{- 2}) + y^{- 1} = 2 x

Solve Bernoulli ODE:

y = \frac{1}{2 x + 2 + c _{1} e ^{x}}

y = \frac{1}{2 x + 2 + c _{1} e ^{x}}

\int \frac{100}{x ^{3} - 10 x ^{2}} d x

\int_{- 6}^{6} π (36 - x^{2}) d x

\frac{d y}{d x} + \frac{1}{x} y = 6 x^{2}

t an g e n t f (x) = \frac{1}{( 1 + x ^{2} )}, at x = - 1

x \to - 10 lim ((+) f (x))