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

Lösung

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

y = - 3 \frac{1}{3 ( ln ( x ) + c _{1} )}

Schritte zur Lösung

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

Solve separable ODE:

y = - 3 \frac{1}{3 ( ln ( x ) + c _{1} )}

y = - 3 \frac{1}{3 ( ln ( x ) + c _{1} )}

\frac{d x}{d t} = t x + 4 x + 3 t + 12

\frac{d y}{d x} = \frac{1}{x ^{2} y ^{4}}

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

y^{^{'}} + x^{2} y = 2 x^{2}

(t^{2} + 4) x^{^{'}} = 2 t x