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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 3 y = 2

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+2y^{''}-5y^'-6y=sin(6t)

y^{^{'''}} + 2 y^{^{''}} - 5 y^{^{'}} - 6 y = sin (6 t)

y^{''}+9y=7sec(3x)

y^{^{''}} + 9 y = 7 sec (3 x)

y^{''}-36y=-42e^{-5t},y(0)=7,y^'(0)=0

y^{^{''}} - 36 y = - 42 e^{- 5 t}, y (0) = 7, y^{^{'}} (0) = 0

y^{''}-7y^'+6y=2,y^'(0)=7

y^{^{''}} - 7 y^{^{'}} + 6 y = 2, y^{^{'}} (0) = 7

y^{'''}-y^'=1-x^2

y^{^{'''}} - y^{^{'}} = 1 - x^{2}