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Beliebt Rechnen >

y^{''}+2y^'-3y=x^2-1

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = x^{2} - 1

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{5}{27}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = x^{2} - 1

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{5}{27}

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{x ^{2}}{3} - \frac{4 x}{9} - \frac{5}{27}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+16x=12cos(9t)

\frac{d ^{2} x}{d t ^{2}} + 16 x = 12 cos (9 t)

y^{''}-3y^'-18y=xe^{3x}

y^{^{''}} - 3 y^{^{'}} - 18 y = x e^{3 x}

y^{''}+y=e^{-t}sin(e^{-t})+cos(e^{-t})

y^{^{''}} + y = e^{- t} sin (e^{- t}) + cos (e^{- t})

y^{''}+y= x/(|x|)

y^{^{''}} + y = \frac{x}{∣ x ∣}

(D^2+5D+6)y=x^2+2x

(D^{2} + 5 D + 6) y = x^{2} + 2 x