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Beliebt Rechnen >

y^{''}-3y^'-4y=10e^t-250cos(3t)

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 10 e^{t} - 250 cos (3 t)

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{5}{3} e^{t} + 9 sin (3 t) + 13 cos (3 t)

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 10 e^{t} - 250 cos (3 t)

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{5}{3} e^{t} + 9 sin (3 t) + 13 cos (3 t)

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{5}{3} e^{t} + 9 sin (3 t) + 13 cos (3 t)

Graph

Beliebte Beispiele

y^{''}+4y=\H(x-pi)-\H(x-2pi)

y^{^{''}} + 4 y = H (x - π) - H (x - 2 π)

y^{''}+2y^'+y=1-\H(t-1)

y^{^{''}} + 2 y^{^{'}} + y = 1 - H (t - 1)

y^{^{''}} + 4 y = 8 t^{2}

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

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

y^{^{''}} + y = t^{2}