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Beliebt Rechnen >

y^{''}-y=3x^2-1

Lösung

y^{^{''}} - y = 3 x^{2} - 1

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - 3 x^{2} - 5

Schritte zur Lösung

y^{''} (x) - y = 3 x^{2} - 1

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - 3 x^{2} - 5

y = c_{1} e^{x} + c_{2} e^{- x} - 3 x^{2} - 5

Graph

Beliebte Beispiele

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

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

y^{'''}-8y=e^{2x}

y^{^{'''}} - 8 y = e^{2 x}

y^{''}-4y=xe^x+cos(2x)

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

y^{''''}+2y^{''}+y=3+cos(5t)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (5 t)

y^{''}+y^'-2y=2x,y(0)=0,y^'(0)=1

y^{^{''}} + y^{^{'}} - 2 y = 2 x, y (0) = 0, y^{^{'}} (0) = 1