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Beliebt Rechnen >

y^{''}-14y^'+49y=e^{8x}(x^2-9x-2)

Lösung

y^{^{''}} - 14 y^{^{'}} + 49 y = e^{8 x} (x^{2} - 9 x - 2)

Lösung

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + e^{8 x} x^{2} - 13 e^{8 x} x + 22 e^{8 x}

Schritte zur Lösung

y^{''} (x) - 14 y^{'} (x) + 49 y = e^{8 x} (x^{2} - 9 x - 2)

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + e^{8 x} x^{2} - 13 e^{8 x} x + 22 e^{8 x}

y = c_{1} e^{7 x} + c_{2} x e^{7 x} + e^{8 x} x^{2} - 13 e^{8 x} x + 22 e^{8 x}

Graph

Beliebte Beispiele

y^'=1+e^{y-x+5}

y^{^{'}} = 1 + e^{y - x + 5}

integral of (x^2-4)^2(2x)

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f(x)=tan^4(x^3)

f (x) = tan^{4} (x^{3})