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Beliebt Rechnen >

y^{''}-4y=6x-4x^3

Lösung

y^{^{''}} - 4 y = 6 x - 4 x^{3}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y = 6 x - 4 x^{3}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-y^{''}+4y^'-4y=-3e^t+4e^{2t}

y^{^{'''}} - y^{^{''}} + 4 y^{^{'}} - 4 y = - 3 e^{t} + 4 e^{2 t}

y^{''}-8y^'+16y=8+16x

y^{^{''}} - 8 y^{^{'}} + 16 y = 8 + 16 x

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

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

2y^{''}-4y^'+3y=2e^{3x}-6

2 y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{3 x} - 6

y^{''}-5y=(x-1)sin(x)+(x+1)cos(x)

y^{^{''}} - 5 y = (x - 1) sin (x) + (x + 1) cos (x)