((y^')/x)+y=1

Lösung

(\frac{y ^{^{'}}}{x}) + y = 1

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

Schritte zur Lösung

(\frac{y ^{'} ( x )}{x}) + y = 1

Solve separable ODE:

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

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

\frac{d y}{d x} = - 4 x y^{3}

\frac{d v}{d t} = - 0.00353 v^{2} - 3

\frac{d y}{d t} = - 0.05 y + 0.75

\frac{d y}{d x} = (1 + y^{2}) e^{x}

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