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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

y^{^{'}} + 3 x^{2} \cdot y = x^{2}

\frac{d y}{d x} 3 x^{2} y = 6 x^{2}

\frac{d y}{d x} + 2 y = 11, y (0) = 1

y^{^{'}} + 3 y = 12