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Beliebt Rechnen >

y^{''}+3y^'+15.25y=e^t

Lösung

y^{^{''}} + 3 y^{^{'}} + 15.25 y = e^{t}

Lösung

y = e^{- \frac{3 t}{2}} (c_{1} cos (13 t) + c_{2} sin (13 t)) + \frac{4}{77} e^{t}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) + 15.25 y = e^{t}

Solve linear ODE:

y = e^{- \frac{3 t}{2}} (c_{1} cos (13 t) + c_{2} sin (13 t)) + \frac{4}{77} e^{t}

y = e^{- \frac{3 t}{2}} (c_{1} cos (13 t) + c_{2} sin (13 t)) + \frac{4}{77} e^{t}

Graph

Beliebte Beispiele

y^{''}+5y=cos(7t)

y^{^{''}} + 5 y = cos (7 t)

y^{''}+5y^'+6y=e^{-x}+sin(x)

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{- x} + sin (x)

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

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

2x^{''}+4x+20x=20\H(t)

2 x^{^{''}} + 4 x + 20 x = 20 H (t)

2y^{''}-y^'-y=25e^{-x}

2 y^{^{''}} - y^{^{'}} - y = 25 e^{- x}