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Beliebt Rechnen >

5sqrt(xy)(dy)/(dx)=4,y>0

Lösung

5 x y \frac{d y}{d x} = 4, y > 0

Lösung

y = 3 \frac{144 x}{25} + \frac{36 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

5 x y \frac{d y}{d x} = 4

Solve separable ODE:

y = 3 \frac{144 x}{25} + \frac{36 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{144 x}{25} + \frac{36 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(dv)/(dt)=sqrt(2/9 v)

\frac{d v}{d t} = \frac{2}{9} v

(dy)/(dx)=4cos(x)sec(y)

\frac{d y}{d x} = 4 cos (x) sec (y)

y^{^{'}} = \frac{x}{y + 1}

e^{-y}y^'=e^x+4x^2

e^{- y} y^{^{'}} = e^{x} + 4 x^{2}

y^'=(x^2-8)/(y^2),y(0)=2

y^{^{'}} = \frac{x ^{2} - 8}{y ^{2}}, y (0) = 2