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Beliebt Rechnen >

3y^2(xdy+ydx)=ydx-xdy

Lösung

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

Lösung

y = \frac{1 + 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}, y = \frac{1 - 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{1 + 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}, y = \frac{1 - 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}

y = \frac{1 + 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}, y = \frac{1 - 1 + 12 e ^{2 c_{1}} x ^{2}}{6 e ^{c_{1}} x}

Graph

Beliebte Beispiele

(dy)/(dt)+4y=11

\frac{d y}{d t} + 4 y = 11

x \cdot \frac{d y}{d x} = y

(dy)/(dx)y=(7+x)^{5/x}

\frac{d y}{d x} y = (7 + x)^{\frac{5}{x}}

(dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1

\frac{d y}{d x} (1 + x^{4}) - 3 x^{3} y = 0, y = 2, x = 1

v(dv)/(dx)=-0.05v-9.8

v \frac{d v}{d x} = - 0.05 v - 9.8