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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+6y^'+12y=763e^{2t}cos(7t)

y^{^{''}} + 6 y^{^{'}} + 12 y = 763 e^{2 t} cos (7 t)

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

y^{^{''}} + y = \frac{2}{cos ( x )}, y (0) = 2, y^{^{'}} (0) = 2

y^{''}+y=4x+10sin(x)

y^{^{''}} + y = 4 x + 10 sin (x)

y^{''}-5y^'+6y=te^t

y^{^{''}} - 5 y^{^{'}} + 6 y = t e^{t}

2y^{''}+2y^'+y=4sqrt(x)

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