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Beliebt Rechnen >

y^'=xy-2x,y(0)=3

Lösung

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

Lösung

y = e^{\frac{x ^{2}}{2}} + 2

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2}} + 2

y = e^{\frac{x ^{2}}{2}} + 2

Graph

Beliebte Beispiele

(dy)/(dx)=(4x)/(3y+1)

\frac{d y}{d x} = \frac{4 x}{3 y + 1}

y^'=xy^{1/2},y(0)= 1/16 x^4

y^{^{'}} = x y^{\frac{1}{2}}, y (0) = \frac{1}{16} x^{4}

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

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

(dy}{dt}=\frac{-t)/y ,y=4

\frac{d y}{d t} = \frac{- t}{y}, y = 4

y=sin(2)(ln(x^2-3x+2))y^'

y = sin (2) (ln (x^{2} - 3 x + 2)) y^{^{'}}