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Beliebt Rechnen >

y^{''''}-y=5t+cos(t)

Lösung

y^{^{''''}} - y = 5 t + cos (t)

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - y = 5 t + cos (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=t,y(0)=1,y^'(0)=2

y^{^{''}} + y = t, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-6y^'+34=0

y^{^{''}} - 6 y^{^{'}} + 34 = 0

y^{''}+25y=5sec(5t)

y^{^{''}} + 25 y = 5 sec (5 t)

y^{''}+4y^'+4y=e^{3x}

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{3 x}

y^{''}+y=3sin(2x)+xcos(2x)

y^{^{''}} + y = 3 sin (2 x) + x cos (2 x)