(dy)/(dx)=sqrt(9.8y)

Lösung

\frac{d y}{d x} = 9.8 y

y = 2.45 x^{2} + 1.56524 \dots c_{1} x + 0.25 c_{1}^{2}

Schritte zur Lösung

\frac{d y}{d x} = 9.8 y

Solve separable ODE:

y = 2.45 x^{2} + 1.56524 \dots c_{1} x + 0.25 c_{1}^{2}

y = 2.45 x^{2} + 1.56524 \dots c_{1} x + 0.25 c_{1}^{2}

y^{^{'}} = - 3 y + 2

x^{2} \frac{d y}{d x} = y (4 x + 5)

(1 - x) \frac{d y}{d x} - y^{2} = 0

\frac{d y}{d x} = x \cdot y

y^{^{'}} = 3 y e^{t}, y (0) = 1