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Beliebt Rechnen >

y^{''}-3y^'-4y=4x^2

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 4 x^{2}

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- x} - x^{2} + \frac{3 x}{2} - \frac{13}{8}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) - 4 y = 4 x^{2}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- x} - x^{2} + \frac{3 x}{2} - \frac{13}{8}

y = c_{1} e^{4 x} + c_{2} e^{- x} - x^{2} + \frac{3 x}{2} - \frac{13}{8}

Graph

Beliebte Beispiele

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

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

y^{^{''}} + 2 y + 1 = 0

y^{''}+2y^'-15=x^2

y^{^{''}} + 2 y^{^{'}} - 15 = x^{2}

y^{''}-y=e^{2t}

y^{^{''}} - y = e^{2 t}

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

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