(dy)/(dx)=e^{-y}(2x-4),y(5)=0

Lösung

\frac{d y}{d x} = e^{- y} (2 x - 4), y (5) = 0

y = ln (x^{2} - 4 x - 4)

Schritte zur Lösung

\frac{d y}{d x} = e^{- y} (2 x - 4)

Solve separable ODE:

y = ln (x^{2} - 4 x - 4)

y = ln (x^{2} - 4 x - 4)

(4 x - 1) d x - (6 y - 7) d y = 0

(2 y^{2} + x y^{3}) d x + (2 x y + x^{2} y^{2}) d y = 0

y^{^{'}} - 2 x y = 3 y

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

15 x^{2} y + 3 x^{3} y^{^{'}} - 24 y = 0