y^'=(7x^2-1)/(7+5y)

Lösung

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 5 y}

y = \frac{- 42 + 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}, y = \frac{- 42 - 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}

Schritte zur Lösung

y^{'} (x) = \frac{7 x ^{2} - 1}{7 + 5 y}

Solve separable ODE:

y = \frac{- 42 + 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}, y = \frac{- 42 - 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}

y = \frac{- 42 + 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}, y = \frac{- 42 - 1764 - 60 ( - c _{1} + 6 x - 14 x ^{3} )}{30}

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

\frac{d y}{d x} y = (ln (x))^{l n (x)}

y^{^{'}} = \frac{5 x + 8}{y}

\frac{d y}{d x} = 2 x 36 - y^{2}

\frac{d y}{d x} = \frac{1}{7} (y)^{\frac{1}{2}} (cos (y^{\frac{1}{2}}))^{2}