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Beliebt Rechnen >

y^{'''}-y^{''}-12y^'-40y=0,y(0)=e^{5x}

Lösung

y^{^{'''}} - y^{^{''}} - 12 y^{^{'}} - 40 y = 0, y (0) = e^{5 x}

Lösung

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

Schritte zur Lösung

y^{'''} (x) - y^{''} (x) - 12 y^{'} (x) - 40 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{'''}+x^{''}-2x=0

x^{^{'''}} + x^{^{''}} - 2 x = 0

x^{''}+7x^'+16x=0

x^{^{''}} + 7 x^{^{'}} + 16 x = 0

2y^{''}-4y^'-2y=0

2 y^{^{''}} - 4 y^{^{'}} - 2 y = 0

4y^{''}-21y^'+20y=0,y^'(0)=-2.75

4 y^{^{''}} - 21 y^{^{'}} + 20 y = 0, y^{^{'}} (0) = - 2.75

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

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