1/y dy=(-x)/(sqrt(1+x^2))dx

Lösung

\frac{1}{y} d y = \frac{- x}{1 + x ^{2}} d x

y = e^{- 1 + x^{2} + c_{1}}

Schritte zur Lösung

\frac{1}{y} d y = \frac{- x}{1 + x ^{2}} d x

Solve separable ODE:

y = e^{- 1 + x^{2} + c_{1}}

y = e^{- 1 + x^{2} + c_{1}}

x^{^{'}} = 1 - 3 x + 2 x^{2}

4 y + x \frac{d y}{d x} = 0

y + 4 y^{^{'}} = 0

2 - y = \frac{y ^{^{'}}}{2 x}

\frac{d y}{d t} = (y + 4) cos (t)