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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{1}{4} sin (2 x) - \frac{1}{4} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{1}{4} sin (2 x) - \frac{1}{4} cos (2 x)

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{1}{4} sin (2 x) - \frac{1}{4} cos (2 x)

Graph

Beliebte Beispiele

y^{''}-2y^'+5y=2x^2+12

y^{^{''}} - 2 y^{^{'}} + 5 y = 2 x^{2} + 12

y^{''}+2y^'+y=5e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = 5 e^{- t}

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

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

y^{''}+2y^'+5y=50xsin(x)+100xcos(x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 50 x sin (x) + 100 x cos (x)

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

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