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Beliebt Rechnen >

x^3y^{''}+2x^3y^'+x^3y=0

Lösung

x^{3} y^{^{''}} + 2 x^{3} y^{^{'}} + x^{3} y = 0

Lösung

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

Schritte zur Lösung

x^{3} y^{''} (x) + 2 x^{3} y^{'} (x) + x^{3} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

16y^{''}-6y^'-7y=0

16 y^{^{''}} - 6 y^{^{'}} - 7 y = 0

y^{'''}-y^{''}+3y^'+5y=0

y^{^{'''}} - y^{^{''}} + 3 y^{^{'}} + 5 y = 0

y^{''}+4y^'+2y=0,y(0)=0,y^'(0)=2

y^{^{''}} + 4 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 2

y^{''}+20y^'+36y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 20 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0

64y^{''}-48y^'+9y=0

64 y^{^{''}} - 48 y^{^{'}} + 9 y = 0