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Beliebt Rechnen >

(2x+y)dx+(x-2y)dy=0

Lösung

(2 x + y) d x + (x - 2 y) d y = 0

Lösung

y = - \frac{- x + 5 x ^{2} - c _{1}}{2}, y = - \frac{- x - 5 x ^{2} - c _{1}}{2}

Schritte zur Lösung

(2 x + y) d x + (x - 2 y) d y = 0

Solve exact ODE:

y = - \frac{- x + 5 x ^{2} - c _{1}}{2}, y = - \frac{- x - 5 x ^{2} - c _{1}}{2}

y = - \frac{- x + 5 x ^{2} - c _{1}}{2}, y = - \frac{- x - 5 x ^{2} - c _{1}}{2}

Graph

Beliebte Beispiele

f(x)=4x^2ln(4x)

f (x) = 4 x^{2} ln (4 x)

derivative of 2x-5y+3

\frac{d}{d x} (2 x - 5 y + 3)

(dy)/(dx)=e^{6x+5y}

\frac{d y}{d x} = e^{6 x + 5 y}

derivative of (x^5/(1-x^4))

\frac{d}{d x} (\frac{x ^{5}}{1 - x ^{4}})

derivative of (x^2+2^3)

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