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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-16(dy)/(dx)+16y=16(x-1)

\frac{d ^{2} y}{d x ^{2}} - 16 \frac{d y}{d x} + 16 y = 16 (x - 1)

y^{''}+9y=9sec^2(3x)

y^{^{''}} + 9 y = 9 sec^{2} (3 x)

y^{''}+2y^'+5y=8e^{-t}cos(2t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 8 e^{- t} cos (2 t)

y^{''}+4y=5t^2e^t

y^{^{''}} + 4 y = 5 t^{2} e^{t}

y^{''}+y=cos(2t)

y^{^{''}} + y = cos (2 t)