(dy)/(dx)=-7/2 x^4y^5

Lösung

\frac{d y}{d x} = - \frac{7}{2} x^{4} y^{5}

y = 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}, y = - 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{7}{2} x^{4} y^{5}

Solve separable ODE:

y = 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}, y = - 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}

y = 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}, y = - 4 - \frac{5}{2 ( - 7 x ^{5} + c _{1} )}

2 x y (\frac{d y}{d x}) = 3

\frac{d y}{d x} = 5 x (y + 4)^{3}

\frac{d y}{d x} 2 x^{3} = 2 y^{2} + 5

\frac{d y}{d x} = (2 x) y

y^{^{'}} = a y + b, y (0) = c