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Beliebt Rechnen >

(D^3+4D)y=e^x+sin(x)

Lösung

(D^{3} + 4 D) y = e^{x} + sin (x)

Lösung

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

Schritte zur Lösung

(D^{3} + 4 D) y = e^{x} + sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=-cos(2t),y^'(0)=0,y(0)=0

y^{^{''}} + y = - cos (2 t), y^{^{'}} (0) = 0, y (0) = 0

y^{''}-6y^'+5y=12e^t,y(0)=-1,y^'(0)=7

y^{^{''}} - 6 y^{^{'}} + 5 y = 12 e^{t}, y (0) = - 1, y^{^{'}} (0) = 7

y^{^{''}} + 9 y = 4 + 5 x

y^{^{''}} - 3 y^{^{'}} = 15

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

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