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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 3 x + 1

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 3 x + 1

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 3 x + 1

Graph

Beliebte Beispiele

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

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

y^{''}+3y^'+2y=x^3+4x^2+2x+1

y^{^{''}} + 3 y^{^{'}} + 2 y = x^{3} + 4 x^{2} + 2 x + 1

y^{''}+4y^'+7=0

y^{^{''}} + 4 y^{^{'}} + 7 = 0

y^{''}+4y^'+2y=cos(2x)

y^{^{''}} + 4 y^{^{'}} + 2 y = cos (2 x)

y^{''}+3y^'-4y=14e^x

y^{^{''}} + 3 y^{^{'}} - 4 y = 14 e^{x}