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Beliebt Rechnen >

y^{''}-6y^'+9y=4e^{3x}

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = 4 e^{3 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = 4 e^{3 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'-4y=(6x+1)e^{2x}

y^{^{''}} + 3 y^{^{'}} - 4 y = (6 x + 1) e^{2 x}

y^{''}+y^'+y=13e^{-2x}(cos(x)+2sin(x))

y^{^{''}} + y^{^{'}} + y = 13 e^{- 2 x} (cos (x) + 2 sin (x))

y^{''}+y^'=7,y(0)=1,y^'(0)=0

y^{^{''}} + y^{^{'}} = 7, y (0) = 1, y^{^{'}} (0) = 0

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

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

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

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