(y+2)dx+sqrt(25-x^2)dy=0

Lösung

(y + 2) d x + 25 - x^{2} d y = 0

y = e^{- a r c s i n (\frac{1}{5} x) - c_{1}} - 2

Schritte zur Lösung

(y + 2) d x + 25 - x^{2} d y = 0

Solve separable ODE:

y = e^{- a r c s i n (\frac{1}{5} x) - c_{1}} - 2

y = e^{- a r c s i n (\frac{1}{5} x) - c_{1}} - 2

2 x^{2} y + 3 x y^{^{'}} - 15 y = 0

- 5 \frac{d y}{d x} = 2 y - 150

(ln (y))^{2} \frac{d y}{d x} = x^{2} y

y^{^{'}} + \frac{3}{x} y = \frac{1}{x}

8 t y + e^{t} y^{^{'}} = \frac{y}{t ^{2} + 64}