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Beliebt Rechnen >

(xy^2+3y^2)dy-9ydx=0

Lösung

(x y^{2} + 3 y^{2}) d y - 9 y d x = 0

Lösung

y = 18 ln (x + 3) + c_{1}, y = - 18 ln (x + 3) + c_{1}

Schritte zur Lösung

(x y^{2} + 3 y^{2}) d y - 9 y d x = 0

Solve separable ODE:

y = 18 ln (x + 3) + c_{1}, y = - 18 ln (x + 3) + c_{1}

y = 18 ln (x + 3) + c_{1}, y = - 18 ln (x + 3) + c_{1}

Graph

Beliebte Beispiele

xdy=(1/(y^2)-y)dx

x d y = (\frac{1}{y ^{2}} - y) d x

(dy)/(dx)=(3x^2-e^x)/(2y-5),y(0)=1

\frac{d y}{d x} = \frac{3 x ^{2} - e ^{x}}{2 y - 5}, y (0) = 1

y^{^{'}} = y^{2} \cdot x

xy^2+yy^'=x^2yy^'

x y^{2} + y y^{^{'}} = x^{2} y y^{^{'}}

(x^2}{y^2-1}(dy)/(dx)=\frac{3x^3)/y

\frac{x ^{2}}{y ^{2} - 1} \frac{d y}{d x} = \frac{3 x ^{3}}{y}