y^'= 1/10 y(500-y)

Lösung

y^{^{'}} = \frac{1}{10} y (500 - y)

y = \frac{50}{e ^{- 50 t - c_{1}} - 1}

Schritte zur Lösung

y^{'} (t) = \frac{1}{10} y (500 - y)

Solve Bernoulli ODE:

y = \frac{50}{e ^{- 50 t - c_{1}} - 1}

y = \frac{50}{e ^{- 50 t - c_{1}} - 1}

t a y l or x^{5}, x = 2

t an g e n t y = x^{2} + 3 x + 11

t a y l or \frac{3}{1 + 3 x}

\int x 5 + 2 x d x

y^{^{''}} - 4 y^{^{'}} + 3 y = 10 e^{3 t}