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Beliebt Rechnen >

y^'=([xy^2+(y)e^x])/(e^x)

Lösung

y^{^{'}} = \frac{[ x y ^{2} + ( y ) e ^{x} ]}{e ^{x}}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{[ x y ^{2} + ( y ) e ^{x} ]}{e ^{x}}

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

derivative of x/(x^{-1+10})

\frac{d}{d x} (\frac{x}{x ^{- 1} + 10})

integral of 2sqrt(x-1)

\int 2 x - 1 d x

integral of t^3e^{-3t}

\int t^{3} e^{- 3 t} d t

integral of (3x+x/((x^2+2)^{4/3)})

\int (3 x + \frac{x}{( x ^{2} + 2 ) ^{\frac{4}{3}}}) d x

limit as x approaches 0+of 3sin(x)ln(x)

x \to 0 + lim (3 sin (x) ln (x))