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Beliebt Rechnen >

y^{''}-18y^'+81y=480sin(x)-210cos(x)

Lösung

y^{^{''}} - 18 y^{^{'}} + 81 y = 480 sin (x) - 210 cos (x)

Lösung

y = c_{1} e^{9 x} + c_{2} x e^{9 x} + \frac{10545}{1681} sin (x) - \frac{2040}{1681} cos (x)

Schritte zur Lösung

y^{''} (x) - 18 y^{'} (x) + 81 y = 480 sin (x) - 210 cos (x)

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2} x e^{9 x} + \frac{10545}{1681} sin (x) - \frac{2040}{1681} cos (x)

y = c_{1} e^{9 x} + c_{2} x e^{9 x} + \frac{10545}{1681} sin (x) - \frac{2040}{1681} cos (x)

Graph

Beliebte Beispiele

y^{''}+9y=2,y^'(0)=5

y^{^{''}} + 9 y = 2, y^{^{'}} (0) = 5

y^{''}+y^'-12y=sin(t)

y^{^{''}} + y^{^{'}} - 12 y = sin (t)

y^{''}-y^'-6y=250te^{-2t}

y^{^{''}} - y^{^{'}} - 6 y = 250 t e^{- 2 t}

y^{''}-8y^'+20y=100x^2

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2}

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

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