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Beliebt Rechnen >

(dy)/(dx)=x-y,y(0)=2

Lösung

\frac{d y}{d x} = x - y, y (0) = 2

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 0 of ln(1/(x^2))

x \to 0 lim (ln (\frac{1}{x ^{2}}))

(\partial)/(\partial z)(y^2z)

\frac{\partial}{\partial z} (y^{2} z)

integral from 0 to N of e^{-st}cos(3t)

\int_{0}^{N} e^{- s t} cos (3 t) d t

tangent y=4x-3x^2,(2,-4)

t an g e n t y = 4 x - 3 x^{2}, (2, - 4)

derivative (x+2)^2

d er i v a t i v e (x + 2)^{2}