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Beliebt Rechnen >

y^{''}+750/30 y= 20/30 cos(2)t

Lösung

y^{^{''}} + \frac{750}{30} y = \frac{20}{30} cos (2) t

Lösung

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{2 cos ( 2 ) t}{75}

Schritte zur Lösung

y^{''} (t) + \frac{750}{30} y = \frac{20}{30} cos (2) t

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{2 cos ( 2 ) t}{75}

y = c_{1} cos (5 t) + c_{2} sin (5 t) + \frac{2 cos ( 2 ) t}{75}

Beliebte Beispiele

5y^{''}+180y=150sin(3t)

5 y^{^{''}} + 180 y = 150 sin (3 t)

y^{''}-2y^'+y=e^{2x}(e^x+1)^{-2}

y^{^{''}} - 2 y^{^{'}} + y = e^{2 x} (e^{x} + 1)^{- 2}

y^{''}+25y=cos(9x)

y^{^{''}} + 25 y = cos (9 x)

y^{''}-3y^'+2y=(e^{2t})/(e^{2t)+1}

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{2 t}}{e ^{2 t} + 1}

y^{''}+4y=t^2+8e^t

y^{^{''}} + 4 y = t^{2} + 8 e^{t}