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Beliebt Rechnen >

2x^2+3x^2-2xy(dy)/(dx)=0

Lösung

2 x^{2} + 3 x^{2} - 2 x y \frac{d y}{d x} = 0

Lösung

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

Schritte zur Lösung

2 x^{2} + 3 x^{2} - 2 x y \frac{d y}{d x} = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dP)/(dt)=1.05P(1-P/(7500))

\frac{d P}{d t} = 1.05 P (1 - \frac{P}{7500})

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

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

x^2(dy)/(dx)+y=-2

x^{2} \frac{d y}{d x} + y = - 2

y^{^{'}} = x^{2} y^{- 7}

x^3dy+x^2ydx+ydx=xdy

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