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Beliebt Rechnen >

y^{''}+5y=5sin(t),y(0)=1,y^'(0)=2

Lösung

y^{^{''}} + 5 y = 5 sin (t), y (0) = 1, y^{^{'}} (0) = 2

Lösung

y = cos (5 t) + \frac{3}{4 5} sin (5 t) + \frac{5}{4} sin (t)

Schritte zur Lösung

y^{''} (t) + 5 y = 5 sin (t)

Solve linear ODE:

y = cos (5 t) + \frac{3}{4 5} sin (5 t) + \frac{5}{4} sin (t)

y = cos (5 t) + \frac{3}{4 5} sin (5 t) + \frac{5}{4} sin (t)

Graph

Beliebte Beispiele

y^{''}-4y=arccos(2x)

y^{^{''}} - 4 y = arccos (2 x)

y^{''}+y^'=3t^2,y(0)=0,y^'(0)=1

y^{^{''}} + y^{^{'}} = 3 t^{2}, y (0) = 0, y^{^{'}} (0) = 1

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

l in e a r y^{^{''}} + 4 y^{^{'}} + 4 y = t - 2 e - 2 t

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

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

y^{''}+6y^'+9y=11e^{-3x}

y^{^{''}} + 6 y^{^{'}} + 9 y = 11 e^{- 3 x}