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Beliebt Rechnen >

3y^{''}-8y^'-3y=6

Lösung

3 y^{^{''}} - 8 y^{^{'}} - 3 y = 6

Lösung

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

Schritte zur Lösung

3 y^{''} (t) - 8 y^{'} (t) - 3 y = 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+5y=13sin(2t)

y^{^{''}} + 4 y^{^{'}} + 5 y = 13 sin (2 t)

y^{''}-4y^'-y=2x^2-5x+4-3e^{-3x}

y^{^{''}} - 4 y^{^{'}} - y = 2 x^{2} - 5 x + 4 - 3 e^{- 3 x}

y^{''}+4y=sin(x),y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = sin (x), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+3y^'+2y=12e^{-3x}

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{- 3 x}

y^{''}-12y^'+36y=30x+3

y^{^{''}} - 12 y^{^{'}} + 36 y = 30 x + 3