y^'=(-3*10^{-12})y^4

Lösung

y^{^{'}} = (- 3 \cdot 1 0^{- 12}) y^{4}

y = \frac{10000}{3 9 ( t + c _{1} )}

Schritte zur Lösung

y^{'} (t) = (- 3 \cdot 1 0^{- 12}) y^{4}

Solve separable ODE:

y = \frac{10000}{3 9 ( t + c _{1} )}

y = \frac{10000}{3 9 ( t + c _{1} )}

f^{^{'}} (x) x = 3 f (x)

\frac{d y}{d x} = \frac{y - 3}{2 x + 1}, y (0) = 4

\frac{d x}{y} - \frac{d y}{x} = 0

5 x^{2} y + 4 x y^{^{'}} + 3 y = 0

y^{^{'}} = t y^{2}, y (0) = 2