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Beliebt Rechnen >

y^{''}-2y^'-3y=2e^{5t}

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 2 e^{5 t}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{1}{6} e^{5 t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 2 e^{5 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{1}{6} e^{5 t}

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{1}{6} e^{5 t}

Graph

Beliebte Beispiele

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

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

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

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

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

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

y^{''}+5y^'+y=4t^2+8t+8

y^{^{''}} + 5 y^{^{'}} + y = 4 t^{2} + 8 t + 8

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

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