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Beliebt Rechnen >

y^'+xy=xy^{(-1)/2}

Lösung

y^{^{'}} + x y = x y^{\frac{- 1}{2}}

Lösung

y = 3 e^{\frac{- 3 x ^{2} - 6 c _{1}}{2}} - 2 e^{- \frac{3 x ^{2}}{4} - \frac{3 c _{1}}{2}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = 3 e^{\frac{- 3 x ^{2} - 6 c _{1}}{2}} - 2 e^{- \frac{3 x ^{2}}{4} - \frac{3 c _{1}}{2}} + 1

y = 3 e^{\frac{- 3 x ^{2} - 6 c _{1}}{2}} - 2 e^{- \frac{3 x ^{2}}{4} - \frac{3 c _{1}}{2}} + 1

Graph

Beliebte Beispiele

y^'=-4ye^t,y(0)=1

y^{^{'}} = - 4 y e^{t}, y (0) = 1

(3y^2-3)dx+5xydy=0

(3 y^{2} - 3) d x + 5 x y d y = 0

sin(y)y^'=2xcos(y)

sin (y) y^{^{'}} = 2 x cos (y)

1/2 (dy)/(dx)=sqrt(y+1)cos(x),y(pi)=0

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

(dy)/(dx)=6xsec(y)

\frac{d y}{d x} = 6 x sec (y)