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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y^{^{'}} + \frac{4}{20 + t} y = 0

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

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

\frac{d y}{d t} (t^{2} - 16 t + 15) = y

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