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Beliebt Rechnen >

x^2y^'-2-3y=0

Lösung

x^{2} y^{^{'}} - 2 - 3 y = 0

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'+x^2y=x^2y^{-3}

y^{^{'}} + x^{2} y = x^{2} y^{- 3}

(1-3y^2)dy-xsin(x)dx=0,y(pi/2)=2

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

(dy)/(dx)=6xsqrt(25-y^2)

\frac{d y}{d x} = 6 x 25 - y^{2}

3xyy^'+4y^1-2=0

3 x y y^{^{'}} + 4 y^{1} - 2 = 0

(dy)/(dt)+sqrt(1+t^2)y=0,y(0)=sqrt(5)

\frac{d y}{d t} + 1 + t^{2} y = 0, y (0) = 5