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Beliebt Rechnen >

y^{''}-5y^'+6y=12x-4

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = 12 x - 4

Lösung

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

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = 12 x - 4

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=12e^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{3 x}

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

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

y^{''}+40y^'+625y=100cos(10t)

y^{^{''}} + 40 y^{^{'}} + 625 y = 100 cos (10 t)

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

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

y^{''}+4y=20e^t,y(0)=0,y^'(0)=2

y^{^{''}} + 4 y = 20 e^{t}, y (0) = 0, y^{^{'}} (0) = 2