y^'+1/x y-e^{-x^2}=0,y(1)=0

Lösung

y^{^{'}} + \frac{1}{x} y - e^{- x^{2}} = 0, y (1) = 0

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

Schritte zur Lösung

y^{'} (x) + \frac{1}{x} y - e^{- x^{2}} = 0

Solve linear ODE:

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

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

n = 0 \sum \infty 2^{n} n^{2} x^{n}

\int ln (3) e^{x} d x

\int \frac{x ^{4} + 9}{x ^{4} + 9 x ^{2}} d x

in v erse l a pl a ce \frac{1}{( s + 6 ) ( s - 4 )}

\frac{d}{d x} (4^{(8 x^{4} + c o s (x))^{3}})