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Beliebt Rechnen >

y^{'''}+y^{''}+4y^'+4y=4x+4

Lösung

y^{^{'''}} + y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x + 4

Lösung

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

Schritte zur Lösung

y^{'''} (x) + y^{''} (x) + 4 y^{'} (x) + 4 y = 4 x + 4

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=4e^{2t},y^'(0)=5,y(0)=-3

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 e^{2 t}, y^{^{'}} (0) = 5, y (0) = - 3

y^{''}-4y^'+8y=16x

y^{^{''}} - 4 y^{^{'}} + 8 y = 16 x

(d^{2} + 1) y = x^{3}

y^{''}+4y=8x^2+9x

y^{^{''}} + 4 y = 8 x^{2} + 9 x

y^{'''}-3y^{''}+3y^'-y=xe^x

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