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Beliebt Rechnen >

y^{''}+4y=32sin(4t),y(0)=1

Lösung

y^{^{''}} + 4 y = 32 sin (4 t), y (0) = 1

Lösung

y = cos (2 t) + c_{2} sin (2 t) - \frac{8}{3} sin (4 t)

Schritte zur Lösung

y^{''} (t) + 4 y = 32 sin (4 t)

Solve linear ODE:

y = cos (2 t) + c_{2} sin (2 t) - \frac{8}{3} sin (4 t)

y = cos (2 t) + c_{2} sin (2 t) - \frac{8}{3} sin (4 t)

Graph

Beliebte Beispiele

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

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

y^{''}-12y^'+5y=-8sin(t)

y^{^{''}} - 12 y^{^{'}} + 5 y = - 8 sin (t)

4y^{''}+y=t-cos(t/2)

4 y^{^{''}} + y = t - cos (\frac{t}{2})

y^{''}+4y=2e^{2t},y(0)=1,y^'(0)=0

y^{^{''}} + 4 y = 2 e^{2 t}, y (0) = 1, y^{^{'}} (0) = 0

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

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