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Beliebt Rechnen >

(dy)/(dx)(y+4)=2xy+4y

Lösung

\frac{d y}{d x} (y + 4) = 2 x y + 4 y

Lösung

y = 4 W (\frac{1}{4 e ^{\frac{- x ^{2} - 4 x - c _{1}}{4}}})

Schritte zur Lösung

\frac{d y}{d x} (y + 4) = 2 x y + 4 y

Solve separable ODE:

y = 4 W (\frac{1}{4 e ^{\frac{- x ^{2} - 4 x - c _{1}}{4}}})

y = 4 W (\frac{1}{4 e ^{\frac{- x ^{2} - 4 x - c _{1}}{4}}})

Beliebte Beispiele

(xy^'-y)cos(y/x)+x=0

(x y^{^{'}} - y) cos (\frac{y}{x}) + x = 0

derivative of cos((x^3/(10)))

\frac{d}{d x} (cos (\frac{x ^{3}}{10}))

(dy)/(dx)=((x-3)^2)/(sqrt(x))

\frac{d y}{d x} = \frac{( x - 3 ) ^{2}}{x}

x*(dy)/(dx)= 1/(y^2)+y

x \cdot \frac{d y}{d x} = \frac{1}{y ^{2}} + y

sum from n=1 to infinity of 1/(n^2+5n+6)

n = 1 \sum \infty \frac{1}{n ^{2} + 5 n + 6}