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Beliebt Rechnen >

y^{''''}-y=3x+cos(x)

Lösung

y^{^{''''}} - y = 3 x + cos (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 3 x - \frac{x sin ( x )}{4}

Schritte zur Lösung

y^{(4)} (x) - y = 3 x + cos (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 3 x - \frac{x sin ( x )}{4}

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - 3 x - \frac{x sin ( x )}{4}

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=u_{2}(t),y(0)=5,y^'(0)=3

y^{^{''}} + 3 y^{^{'}} + 2 y = u_{2} (t), y (0) = 5, y^{^{'}} (0) = 3

(D^2-D)y=e^xsin(x)

(D^{2} - D) y = e^{x} sin (x)

(D^3+2D^2-5D-6)y=e^{-3x}

(D^{3} + 2 D^{2} - 5 D - 6) y = e^{- 3 x}

y^{''}+4y^'+4y=sin(2t)

y^{^{''}} + 4 y^{^{'}} + 4 y = sin (2 t)

y^{''}+16y=17sec^2(4t)

y^{^{''}} + 16 y = 17 sec^{2} (4 t)