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Beliebt Rechnen >

(dy)/(dx)=(9x+4y)/(9x+4y+4)

Lösung

\frac{d y}{d x} = \frac{9 x + 4 y}{9 x + 4 y + 4}

Lösung

y = \frac{4 W ( \frac{1}{16 e ^{\frac{- 169 x - c _{1} - 36}{16}}} ) - 9}{13} - \frac{9 x}{4}

Schritte zur Lösung

\frac{d y}{d x} = \frac{9 x + 4 y}{9 x + 4 y + 4}

Solve using substitution:

y = \frac{4 W ( \frac{1}{16 e ^{\frac{- 169 x - c _{1} - 36}{16}}} ) - 9}{13} - \frac{9 x}{4}

y = \frac{4 W ( \frac{1}{16 e ^{\frac{- 169 x - c _{1} - 36}{16}}} ) - 9}{13} - \frac{9 x}{4}

Beliebte Beispiele

inverselaplace ((5/s-1))/((s+1)^2+9)

in v erse l a pl a ce \frac{( \frac{5}{s} - 1 )}{( s + 1 ) ^{2} + 9}

integral of 1/(sqrt(1+6x-3x^2))

\int \frac{1}{1 + 6 x - 3 x ^{2}} d x

y^'-2y=3e^{-2t}

y^{^{'}} - 2 y = 3 e^{- 2 t}

derivative of (e^{x^2}/2)

\frac{d}{d x} (\frac{e ^{x^{2}}}{2})

derivative log_{10}(n)

d er i v a t i v e lo g_{10} (n)