(dy)/(dt)-2ty=t,y(0)=1

Lösung

\frac{d y}{d t} - 2 t y = t, y (0) = 1

y = \frac{3 e ^{t^{2}}}{2} - \frac{1}{2}

Schritte zur Lösung

\frac{d y}{d t} - 2 t y = t

Solve separable ODE:

y = \frac{3 e ^{t^{2}}}{2} - \frac{1}{2}

y = \frac{3 e ^{t^{2}}}{2} - \frac{1}{2}

y + 5 + (x - 2) \frac{d y}{d x} = 0

x ln (x) d y + y ln (y) d x = 0

y^{^{'}} + a \cdot y^{2} = - b

f^{^{'}} (t) = f (t)^{- 1}

y^{^{'}} = 2 x^{3} (1 + y^{2}), y (1) = 0