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Beliebt Rechnen >

y^{''}+y^'-2y=2t-40cos(2t)

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 2 t - 40 cos (2 t)

Lösung

y = c_{1} e^{t} + c_{2} e^{- 2 t} - t - \frac{1}{2} - 2 sin (2 t) + 6 cos (2 t)

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 2 y = 2 t - 40 cos (2 t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 2 t} - t - \frac{1}{2} - 2 sin (2 t) + 6 cos (2 t)

y = c_{1} e^{t} + c_{2} e^{- 2 t} - t - \frac{1}{2} - 2 sin (2 t) + 6 cos (2 t)

Graph

Beliebte Beispiele

y^{''}-6y^'+45y=-4sin(2t)

y^{^{''}} - 6 y^{^{'}} + 45 y = - 4 sin (2 t)

y^{''}+16y=sin(x)

y^{^{''}} + 16 y = sin (x)

x^{''}+36x=100cos(4t)

x^{^{''}} + 36 x = 100 cos (4 t)

y^{''}-5y^'=8e^{4t}-4e^{-t}

y^{^{''}} - 5 y^{^{'}} = 8 e^{4 t} - 4 e^{- t}

4y^{''}+4y^'+y=e^{-x}+sin(x)

4 y^{^{''}} + 4 y^{^{'}} + y = e^{- x} + sin (x)