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Beliebt Rechnen >

2y^{''}+2y=-16cos(3x)

Lösung

2 y^{^{''}} + 2 y = - 16 cos (3 x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + cos (3 x)

Schritte zur Lösung

2 y^{''} (x) + 2 y = - 16 cos (3 x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + cos (3 x)

y = c_{1} cos (x) + c_{2} sin (x) + cos (3 x)

Graph

Beliebte Beispiele

y^{'''}-y^{''}-y^'+y=3e^{-t}+2

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 3 e^{- t} + 2

y^{''}-3y^'-4y=e^{2x}

y^{^{''}} - 3 y^{^{'}} - 4 y = e^{2 x}

y^{''}+4y^'+4y=4x^2+6e^x

y^{^{''}} + 4 y^{^{'}} + 4 y = 4 x^{2} + 6 e^{x}

y^{''}+4y^'+4y=x^2+3

y^{^{''}} + 4 y^{^{'}} + 4 y = x^{2} + 3

9y^{''}+4y=3x+12e^{-x},y(0)=1,y^'(0)=0

9 y^{^{''}} + 4 y = 3 x + 12 e^{- x}, y (0) = 1, y^{^{'}} (0) = 0