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Beliebt Rechnen >

y^{''}+4y^'+3y=1

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 1

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 3 y = 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y=9sin(t),y(0)=1,y^'(0)=-1

y^{^{''}} + 4 y = 9 sin (t), y (0) = 1, y^{^{'}} (0) = - 1

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

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

y^{''}+25y=3,y(0)=1,y^'(0)=5

y^{^{''}} + 25 y = 3, y (0) = 1, y^{^{'}} (0) = 5

y^{''}+20y^'+200y=400

y^{^{''}} + 20 y^{^{'}} + 200 y = 400

y^{'''}-7y^{''}=x^2+2cos(x)

y^{^{'''}} - 7 y^{^{''}} = x^{2} + 2 cos (x)