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Beliebt Rechnen >

y^'=x(3-y)

Lösung

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

Lösung

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 3

Schritte zur Lösung

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

Solve separable ODE:

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 3

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 3

Graph

Beliebte Beispiele

integral of (x^3(x^2-2x)^3)

\int (x^{3} (x^{2} - 2 x)^{3}) d x

derivative y= 1/2 (e^x-e^{-x})

d er i v a t i v e y = \frac{1}{2} (e^{x} - e^{- x})

derivative 925+20x-0.079x^2

d er i v a t i v e 925 + 20 x - 0.079 x^{2}

integral from-9 to 0 of 1/(sqrt(16-x))

\int_{- 9}^{0} \frac{1}{16 - x} d x

derivative of ln(5x^3+2x)

\frac{d}{d x} (ln (5 x^{3} + 2 x))