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Beliebt Rechnen >

y^{'''}-y^'=7sin(t)

Lösung

y^{^{'''}} - y^{^{'}} = 7 sin (t)

Lösung

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{7}{2} cos (t)

Schritte zur Lösung

y^{'''} (t) - y^{'} (t) = 7 sin (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{7}{2} cos (t)

y = c_{1} + c_{2} e^{- t} + c_{3} e^{t} + \frac{7}{2} cos (t)

Graph

Beliebte Beispiele

(D^4+D^2)y=18x-4sin(x)

(D^{4} + D^{2}) y = 18 x - 4 sin (x)

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

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

y^{''''}+2y^{''}+y=3t+4

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 4

y^{''}+4y^'+4y=e^{-2x}sin(2x)

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{- 2 x} sin (2 x)

4y^{''}-4y^'+y=32e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 32 e^{\frac{t}{2}}