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Beliebt Rechnen >

y^{'''}-4y^{''}+y^'+6y=8cos(x)+18x+3

Lösung

y^{^{'''}} - 4 y^{^{''}} + y^{^{'}} + 6 y = 8 cos (x) + 18 x + 3

Lösung

y = c_{1} e^{- x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{4}{5} cos (x) + 3 x

Schritte zur Lösung

y^{'''} (x) - 4 y^{''} (x) + y^{'} (x) + 6 y = 8 cos (x) + 18 x + 3

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{4}{5} cos (x) + 3 x

y = c_{1} e^{- x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{4}{5} cos (x) + 3 x

Graph

Beliebte Beispiele

y^{''}+y=sin(t),y(0)=1,y^'(0)=-1

y^{^{''}} + y = sin (t), y (0) = 1, y^{^{'}} (0) = - 1

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

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

3y^{''}+y^'-2y=x^2-3x+7

3 y^{^{''}} + y^{^{'}} - 2 y = x^{2} - 3 x + 7

y^{'''}+y^'-10y=xe^{2x}

y^{^{'''}} + y^{^{'}} - 10 y = x e^{2 x}

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

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