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Beliebt Rechnen >

2y^{''}+7y=-8/3 x

Lösung

2 y^{^{''}} + 7 y = - \frac{8}{3} x

Lösung

y = c_{1} cos (\frac{7}{2} x) + c_{2} sin (\frac{7}{2} x) - \frac{8 x}{21}

Schritte zur Lösung

2 y^{''} (x) + 7 y = - \frac{8}{3} x

Solve linear ODE:

y = c_{1} cos (\frac{7}{2} x) + c_{2} sin (\frac{7}{2} x) - \frac{8 x}{21}

y = c_{1} cos (\frac{7}{2} x) + c_{2} sin (\frac{7}{2} x) - \frac{8 x}{21}

Graph

Beliebte Beispiele

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

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

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

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

y^{'''}-7y^'-6y=26e^{2x}

y^{^{'''}} - 7 y^{^{'}} - 6 y = 26 e^{2 x}

(d^2y)/(dt^2)+9y=cos(3t)

\frac{d ^{2} y}{d t ^{2}} + 9 y = cos (3 t)

y^{''}+9y=cos(2t),y(0)=1,y^'(0)=0

y^{^{''}} + 9 y = cos (2 t), y (0) = 1, y^{^{'}} (0) = 0