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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2y^{''}-4y^'-6y=16e^{-x}

2 y^{^{''}} - 4 y^{^{'}} - 6 y = 16 e^{- x}

(d^2y)/(dx^2)-2(dy)/(dx)+y=x^{-2}e^x

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

x^{''}+2x^'+5x=sin(2t)

x^{^{''}} + 2 x^{^{'}} + 5 x = sin (2 t)

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

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

y^{''}+3y^'+2y=12e^t

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{t}