(dy)/(dt)=ysqrt(t-1),y(1)=4

Lösung

\frac{d y}{d t} = y t - 1, y (1) = 4

y = 4 e^{\frac{2 ( t - 1 ) ^{\frac{3}{2}}}{3}}

Schritte zur Lösung

\frac{d y}{d t} = y t - 1

Solve separable ODE:

y = 4 e^{\frac{2 ( t - 1 ) ^{\frac{3}{2}}}{3}}

y = 4 e^{\frac{2 ( t - 1 ) ^{\frac{3}{2}}}{3}}

\frac{d y}{d x} = 3 y - 3

y^{^{'}} = g - y

y^{^{'}} = (4 x + 7) (5 y + 4)

x^{^{'}} = x^{2} (t)

\frac{d v}{d x} + xv = 0