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Beliebt Rechnen >

y^{''}-4y=2e^{4t}

Lösung

y^{^{''}} - 4 y = 2 e^{4 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{4 t}

Schritte zur Lösung

y^{''} (t) - 4 y = 2 e^{4 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{4 t}

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + \frac{1}{6} e^{4 t}

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=25e^tsin(t)

y^{^{''}} - 6 y^{^{'}} + 9 y = 25 e^{t} sin (t)

(D^2+7D+6)y=e^{2x}

(D^{2} + 7 D + 6) y = e^{2 x}

y^{''}=2y+18tan^3(x)

y^{^{''}} = 2 y + 18 tan^{3} (x)

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

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

5y^{''}+25y^'+1/(10^{-2)}y=10e^{-x/4}

5 y^{^{''}} + 25 y^{^{'}} + \frac{1}{1 0 ^{- 2}} y = 10 e^{- \frac{x}{4}}