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Beliebt Rechnen >

y^{''}+3y=-48x^2e^{3x}

Lösung

y^{^{''}} + 3 y = - 48 x^{2} e^{3 x}

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x^{2} e^{3 x} + 4 x e^{3 x} - \frac{4}{3} e^{3 x}

Schritte zur Lösung

y^{''} (x) + 3 y = - 48 x^{2} e^{3 x}

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x^{2} e^{3 x} + 4 x e^{3 x} - \frac{4}{3} e^{3 x}

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x^{2} e^{3 x} + 4 x e^{3 x} - \frac{4}{3} e^{3 x}

Graph

Beliebte Beispiele

f(x)=arcsinh(x)

f (x) = arcsinh (x)

integral of-510x^2+3414x+1998

\int - 510 x^{2} + 3414 x + 1998 d x

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