1x(dy)/(dx)+y= 5/(y^2)

Lösung

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

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

y = \frac{3 - c _{1} + 5 x ^{3}}{x}

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

(x - y^{2} x) d x = - (y - x^{2} y) d y

\frac{d y}{d x} + 4 y = 8, y (0) = 0

\frac{d y}{d x} = 5 x y, y = 0

d y \cdot x = 3 y \cdot d x