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Beliebt Rechnen >

2xy^3dx+3x^2y^2dy=0,y(1)=2

Lösung

2 x y^{3} d x + 3 x^{2} y^{2} d y = 0, y (1) = 2

Lösung

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

Schritte zur Lösung

2 x y^{3} d x + 3 x^{2} y^{2} d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

y = \frac{c _{1}}{x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

5x(dy)/(dx)=6(7-3y)

5 x \frac{d y}{d x} = 6 (7 - 3 y)

(dy)/(dx)=3x^6sqrt(y),y>0

\frac{d y}{d x} = 3 x^{6} y, y > 0

y^'-2y=2y^{1/2},y(0)=1

y^{^{'}} - 2 y = 2 y^{\frac{1}{2}}, y (0) = 1

(dP)/(dt)=8sqrt(Pt),P(1)=2

\frac{d P}{d t} = 8 Pt, P (1) = 2

(xy^2+y^2)dx+xdy=0

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