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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+y=3sqrt(t+1)e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = 3 t + 1 e^{- t}

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

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

y^{''}+4y=5xe^{2x}

y^{^{''}} + 4 y = 5 x e^{2 x}

2y^{''}-13y^'+20y=4x^2+8x+10

2 y^{^{''}} - 13 y^{^{'}} + 20 y = 4 x^{2} + 8 x + 10

(D^3+D-10)y=29e^{4x}

(D^{3} + D - 10) y = 29 e^{4 x}