(dy)/(dt)-6ty^2=0

Lösung

\frac{d y}{d t} - 6 t y^{2} = 0

y = - \frac{1}{3 t ^{2} + c _{1}}

Schritte zur Lösung

\frac{d y}{d t} - 6 t y^{2} = 0

Solve separable ODE:

y = - \frac{1}{3 t ^{2} + c _{1}}

y = - \frac{1}{3 t ^{2} + c _{1}}

y + 5 + (x - 2) y^{^{'}} = 0

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

y^{^{'}} = - 5 y + 20

y^{^{'}} = 8 t cos^{2} (y), y (1) = \frac{3 π}{4}

y^{^{'}} = (\frac{1}{1 + x}) y