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Beliebt Rechnen >

y^{'''}+2y^{''}-y^'-2y=1-4x^3

Lösung

y^{^{'''}} + 2 y^{^{''}} - y^{^{'}} - 2 y = 1 - 4 x^{3}

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{- x} + c_{3} e^{x} + 2 x^{3} - 3 x^{2} + 15 x - 8

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- x} + c_{3} e^{x} + 2 x^{3} - 3 x^{2} + 15 x - 8

y = c_{1} e^{- 2 x} + c_{2} e^{- x} + c_{3} e^{x} + 2 x^{3} - 3 x^{2} + 15 x - 8

Graph

Beliebte Beispiele

y^{''''}+2y^{''}+y=7+cos(2t)

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (2 t)

x^{''}+6x^'+34x=68,x(0)=5,x^'(0)=7

x^{^{''}} + 6 x^{^{'}} + 34 x = 68, x (0) = 5, x^{^{'}} (0) = 7

y^{''}+9y=13sec^2(3t)

y^{^{''}} + 9 y = 13 sec^{2} (3 t)

y^{''}+2y^'=2x+5-e-2x

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 - e - 2 x

y^{''}-2y^'+y=x^3+8x

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 8 x