y^'-6y-30=0

Lösung

y^{^{'}} - 6 y - 30 = 0

y = e^{6 t + c_{1}} - 5

Schritte zur Lösung

y^{'} (t) - 6 y - 30 = 0

Solve separable ODE:

y = e^{6 t + c_{1}} - 5

y = e^{6 t + c_{1}} - 5

2 y y^{^{'}} = 6 x^{2}

e^{x} y \frac{d y}{d x} = e^{- 2 x - y}

7 x y \frac{d y}{d x} = 2, y > 0, x > 0

x^{^{'}} + 2 x = 12

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