y^'=(x-3)e^{-2y}

Lösung

y^{^{'}} = (x - 3) e^{- 2 y}

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

Schritte zur Lösung

y^{'} (x) = (x - 3) e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

y = \frac{ln ( x ^{2} - 6 x + c _{1} )}{2}

d er i v a t i v e - \frac{4}{( 5 ) ^{3}}

x \to - 1 lim (x^{2} - x + 7)

d er i v a t i v e f (x) = ln (3 + x)

\frac{d y}{d x} = \frac{y ^{2} + 6 x x ^{2} + y ^{2}}{x y}

t an g e n t f (x) = 2 (x^{2} - 1)^{3}, at x = 2