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Beliebt Rechnen >

y^{''}+y^'-6y=8+4e^t

Lösung

y^{^{''}} + y^{^{'}} - 6 y = 8 + 4 e^{t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - \frac{4}{3} - e^{t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 6 y = 8 + 4 e^{t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - \frac{4}{3} - e^{t}

y = c_{1} e^{2 t} + c_{2} e^{- 3 t} - \frac{4}{3} - e^{t}

Graph

Beliebte Beispiele

u^{''}-3\H(t)=7cos(t),\H(0)=-3/4 ,u^'(0)=0

u^{^{''}} - 3 H (t) = 7 cos (t), H (0) = - \frac{3}{4}, u^{^{'}} (0) = 0

y^{''}+y^'=5x+2e^x

y^{^{''}} + y^{^{'}} = 5 x + 2 e^{x}

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

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

y^{''}+5y^'+6y=36t+6

y^{^{''}} + 5 y^{^{'}} + 6 y = 36 t + 6

y^{''}+y^'=3e^{x/2}

y^{^{''}} + y^{^{'}} = 3 e^{\frac{x}{2}}