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Beliebt Rechnen >

(dy)/(dx)+2xy=x,y= 1/2+1/2 e^{-x^2}

Lösung

\frac{d y}{d x} + 2 x y = x, y = \frac{1}{2} + \frac{1}{2} e^{- x^{2}}

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)= x/y ,y(0)=-1

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 1

y^{^{'}} = cos (t) \cdot y

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

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

xy^3dx+e^{x^3}dy=0

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

(dy)/(dx)=(ysin(x))/(y+1)

\frac{d y}{d x} = \frac{y sin ( x )}{y + 1}