(dy)/(dx)=-7/8 x^3y^7

Lösung

\frac{d y}{d x} = - \frac{7}{8} x^{3} y^{7}

y = 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}, y = - 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{7}{8} x^{3} y^{7}

Solve separable ODE:

y = 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}, y = - 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}

y = 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}, y = - 6 - \frac{16}{3 ( - 7 x ^{4} + c _{1} )}

3 y^{^{'}} - 5 y = 0

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

x y (1 + y^{2}) d x - (1 + x^{2}) d y = 0

\frac{d y}{d x} + \frac{2}{x} y = \frac{3}{x}

y^{^{'}} x + 3 y = 3