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Beliebt Rechnen >

y^{''}-3y^'+2y=6e^x-2xe^{2x}+2

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 6 e^{x} - 2 x e^{2 x} + 2

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} - 6 x e^{x} - e^{2 x} x^{2} + 2 x e^{2 x} + 1

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = 6 e^{x} - 2 x e^{2 x} + 2

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} - 6 x e^{x} - e^{2 x} x^{2} + 2 x e^{2 x} + 1

y = c_{1} e^{2 x} + c_{2} e^{x} - 6 x e^{x} - e^{2 x} x^{2} + 2 x e^{2 x} + 1

Graph

Beliebte Beispiele

y^{''}+3y^'-6y=xe^{2x}

y^{^{''}} + 3 y^{^{'}} - 6 y = x e^{2 x}

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

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

x^{''}+x=8cos(6t)

x^{^{''}} + x = 8 cos (6 t)

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

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

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

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