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Beliebt Rechnen >

dy=(xy^2+3xy)dx

Lösung

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

Lösung

y = \frac{3 ( e ^{\frac{- c _{1} - 3 x ^{2}}{2}} + 1 )}{e ^{- c_{1} - 3 x^{2}} - 1}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{3 ( e ^{\frac{- c _{1} - 3 x ^{2}}{2}} + 1 )}{e ^{- c_{1} - 3 x^{2}} - 1}

y = \frac{3 ( e ^{\frac{- c _{1} - 3 x ^{2}}{2}} + 1 )}{e ^{- c_{1} - 3 x^{2}} - 1}

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=25cos(x)

y^{^{''}} + 4 y^{^{'}} + 4 y = 25 cos (x)

sum from n=0 to infinity of 1/(3^n-n)

n = 0 \sum \infty \frac{1}{3 ^{n} - n}

d er i v a t i v e x^{y}

derivative y=x^2sqrt(2x-7)

d er i v a t i v e y = x^{2} 2 x - 7

integral of (2x^2+1)e^{(x^2)}

\int (2 x^{2} + 1) e^{(x^{2})} d x