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Beliebt Rechnen >

y^{''}+49y=-5cos(7t+pi/3),y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 49 y = - 5 cos (7 t + \frac{π}{3}), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{5 t sin ( 7 t + \frac{π}{3} )}{14} + \frac{5 3}{196} sin (7 t)

Schritte zur Lösung

y^{''} (t) + 49 y = - 5 cos (7 t + \frac{π}{3})

Solve linear ODE:

y = - \frac{5 t sin ( 7 t + \frac{π}{3} )}{14} + \frac{5 3}{196} sin (7 t)

y = - \frac{5 t sin ( 7 t + \frac{π}{3} )}{14} + \frac{5 3}{196} sin (7 t)

Graph

Beliebte Beispiele

y^{''}+6y^'+13y=x^2

y^{^{''}} + 6 y^{^{'}} + 13 y = x^{2}

y^{''}+9y=6cos(3x)+9sin(3x)

y^{^{''}} + 9 y = 6 cos (3 x) + 9 sin (3 x)

y^{'''}+7y^{''}+8y^'-16y=-2e^x-2

y^{^{'''}} + 7 y^{^{''}} + 8 y^{^{'}} - 16 y = - 2 e^{x} - 2

x^{'''}+3x^{''}+x^'+3x=t^2

x^{^{'''}} + 3 x^{^{''}} + x^{^{'}} + 3 x = t^{2}

y^{''}+3y^'+15.25y=e^t

y^{^{''}} + 3 y^{^{'}} + 15.25 y = e^{t}