(dy)/(dx)=-4/6 x^3y^5

Lösung

\frac{d y}{d x} = - \frac{4}{6} x^{3} y^{5}

y = 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}, y = - 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{4}{6} x^{3} y^{5}

Solve separable ODE:

y = 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}, y = - 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}

y = 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}, y = - 4 - \frac{3}{2 ( - x ^{4} + c _{1} )}

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

4 x y^{2} d y = 2 y^{3} + 2 y d x

y^{2} d y = cos (5 x) d x

\frac{d y}{d x} = \frac{x ^{3}}{( y + 1 )}

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