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Beliebt Rechnen >

(2y^2+3xy)+(2xy+x^2)y^'=0

Lösung

(2 y^{2} + 3 x y) + (2 x y + x^{2}) y^{^{'}} = 0

Lösung

y = \frac{- x ^{2} + x ^{4} + c _{1}}{2 x}, y = - \frac{x ^{2} + x ^{4} + c _{1}}{2 x}

Schritte zur Lösung

(2 y^{2} + 3 x y) + (2 x y + x^{2}) y^{'} (x) = 0

Solve using substitution:

y = \frac{- x ^{2} + x ^{4} + c _{1}}{2 x}, y = - \frac{x ^{2} + x ^{4} + c _{1}}{2 x}

y = \frac{- x ^{2} + x ^{4} + c _{1}}{2 x}, y = - \frac{x ^{2} + x ^{4} + c _{1}}{2 x}

Graph

Beliebte Beispiele

x^{''}+9x=0,x(0)=0.7,x^'(0)=0.4

x^{^{''}} + 9 x = 0, x (0) = 0.7, x^{^{'}} (0) = 0.4

limit as x approaches 2 of-x^2

x \to 2 lim (- x^{2})

integral of 7xsqrt(1-x^4)

\int 7 x 1 - x^{4} d x

derivative of 1/(2x-5)

\frac{d}{d x} (\frac{1}{2 x - 5})

derivative f(2)=4log_{6}(x)

d er i v a t i v e f (2) = 4 lo g_{6} (x)