(dy)/(dx)= 1/(x^2y^4)

Lösung

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

y = 5 - \frac{5}{x} + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 5 - \frac{5}{x} + c_{1}

y = 5 - \frac{5}{x} + c_{1}

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

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

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

(x^{2} + 4) y^{^{'}} + 8 x y = 2 x

\frac{d y}{d t} = \frac{( 50 - y )}{10}