(dy)/(dt)=-2k(y^2+2)

Lösung

\frac{d y}{d t} = - 2 k (y^{2} + 2)

y = tan (2 (- 2 k t + c_{1})) 2

Schritte zur Lösung

\frac{d y}{d t} = - 2 k (y^{2} + 2)

Solve separable ODE:

y = tan (2 (- 2 k t + c_{1})) 2

y = tan (2 (- 2 k t + c_{1})) 2

y^{^{'}} = \frac{1 + y ^{2}}{x ^{2} y}

x sin (y) d x - (x^{2} + 1) cos (y) d y = 0

y^{^{'}} = x (2 y + 1)

y (6 x^{2} - x - 1) d x + 2 x d y = 0

y^{^{'}} - y = 0, y (0) = c e^{x}