y^'=(11x^2-1)/(11+4y)

Lösung

y^{^{'}} = \frac{11 x ^{2} - 1}{11 + 4 y}

y = \frac{- 33 + 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}, y = \frac{- 33 - 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}

Schritte zur Lösung

y^{'} (x) = \frac{11 x ^{2} - 1}{11 + 4 y}

Solve separable ODE:

y = \frac{- 33 + 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}, y = \frac{- 33 - 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}

y = \frac{- 33 + 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}, y = \frac{- 33 - 1089 - 24 ( - c _{1} + 3 x - 11 x ^{3} )}{12}

d er i v a t i v e h (t) = (t + 1)^{\frac{2}{3}} (2 t^{2} - 5)^{3}

t an g e n t f (x) = \frac{7 x}{3 + x ^{2}}, at x = 2

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

t an g e n t y = \frac{- 6 x}{x ^{2} + 1}, (0, 0)

d er i v a t i v e f (x) = 4 x^{2} - x