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Beliebt Rechnen >

y^{''}+4y^'+4y=16t+13

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 16 t + 13

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 4 y = 16 t + 13

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-14y^'+49y=2te^{7t}

y^{^{''}} - 14 y^{^{'}} + 49 y = 2 t e^{7 t}

v^{''}-1v=2e^{4x}

v^{^{''}} - 1 v = 2 e^{4 x}

linear y^{''}+y^'-2y=upi(t)-u^2pi(t)

l in e a r y^{^{''}} + y^{^{'}} - 2 y = u π (t) - u^{2} π (t)

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

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

y^{''}-4y^'-5y=6x^2+4x+1

y^{^{''}} - 4 y^{^{'}} - 5 y = 6 x^{2} + 4 x + 1