(dy)/(dx)=e^y,y=0,x=1

Lösung

\frac{d y}{d x} = e^{y}, y = 0, x = 1

y = - ln (- x + 2)

Schritte zur Lösung

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

Solve separable ODE:

y = - ln (- x + 2)

y = - ln (- x + 2)

x^{2} y^{^{'}} = (x + 7) y

y^{^{'}} - y^{2} e^{- 2 x} = 0

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

\frac{d y}{d x} - x y + x^{2} y = 0

\frac{d y}{d t} = \frac{k \cdot y}{c}