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Beliebt Rechnen >

6y^{''}+3y^'-30y=16cos(x)

Lösung

6 y^{^{''}} + 3 y^{^{'}} - 30 y = 16 cos (x)

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- \frac{5 x}{2}} + \frac{16}{435} sin (x) - \frac{64}{145} cos (x)

Schritte zur Lösung

6 y^{''} (x) + 3 y^{'} (x) - 30 y = 16 cos (x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- \frac{5 x}{2}} + \frac{16}{435} sin (x) - \frac{64}{145} cos (x)

y = c_{1} e^{2 x} + c_{2} e^{- \frac{5 x}{2}} + \frac{16}{435} sin (x) - \frac{64}{145} cos (x)

Graph

Beliebte Beispiele

y^{''}-5y^'-36y=e^{9x}

y^{^{''}} - 5 y^{^{'}} - 36 y = e^{9 x}

y^{''}+y^'+y=sin(x)+x+x^2-1

y^{^{''}} + y^{^{'}} + y = sin (x) + x + x^{2} - 1

y^{''}+y=e^{2x},y(0)=0

y^{^{''}} + y = e^{2 x}, y (0) = 0

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

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

x^{^{''}} + x = 2 e^{t}