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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{x}{2} - \frac{3}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{x}{2} - \frac{3}{4}

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{x}{2} - \frac{3}{4}

Graph

Beliebte Beispiele

tangent f(x)=5x^2-8x,\at x=1

t an g e n t f (x) = 5 x^{2} - 8 x, at x = 1

limit as x approaches 2 of ax+b

x \to 2 lim (a x + b)

derivative (2x^2)/(x^2-1)

d er i v a t i v e \frac{2 x ^{2}}{x ^{2} - 1}

derivative of (e^x/(8x^2))

\frac{d}{d x} (\frac{e ^{x}}{8 x ^{2}})

derivative (6x-1)/(2x+9)

d er i v a t i v e \frac{6 x - 1}{2 x + 9}