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Beliebt Rechnen >

y^{''}-y^'-6y=68cos(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 68 cos (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{34}{39} sin (3 x) - \frac{170}{39} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 68 cos (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{34}{39} sin (3 x) - \frac{170}{39} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{34}{39} sin (3 x) - \frac{170}{39} cos (3 x)

Graph

Beliebte Beispiele

x^{^{''}} - 9 x - 1 = 0

y^{''}-y^'=1,y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} = 1, y (0) = 0, y^{^{'}} (0) = 0

(D^2+3D-10)y=20+5e^{3x}

(D^{2} + 3 D - 10) y = 20 + 5 e^{3 x}

(D^4+4D^2)y=sin(2x)+xe^x+4

(D^{4} + 4 D^{2}) y = sin (2 x) + x e^{x} + 4

y^{''}+5(dy)/(dx)-6y=2+(-2)sin(2x)

y^{^{''}} + 5 \frac{d y}{d x} - 6 y = 2 + (- 2) sin (2 x)