(dx)/(dt)=t(x-2)

Lösung

\frac{d x}{d t} = t (x - 2)

x = e^{\frac{t ^{2}}{2} + c_{1}} + 2

Schritte zur Lösung

\frac{d x}{d t} = t (x - 2)

Solve separable ODE:

x = e^{\frac{t ^{2}}{2} + c_{1}} + 2

x = e^{\frac{t ^{2}}{2} + c_{1}} + 2

\frac{d y}{d x} = \frac{8 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

\frac{d}{d t} ((y) (8 y - y^{2})) = - \frac{8}{144} y, y (0) = 8

y d y = x (1 + x^{2})^{\frac{- 1}{2}} (1 + y^{2})^{\frac{1}{2}} d x

y^{^{'}} sec (x) = y^{2}, y (\frac{13 π}{2}) = \frac{1}{3}

\frac{d y}{d x} = - 16 x y