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Beliebt Rechnen >

8y^{''}+y=t,y(0)=0,y^'(0)=0

Lösung

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

Lösung

y = t - 22 sin (\frac{t}{2 2})

Schritte zur Lösung

8 y^{''} (t) + y = t

Solve linear ODE:

y = t - 22 sin (\frac{t}{2 2})

y = t - 22 sin (\frac{t}{2 2})

Graph

Beliebte Beispiele

y^{''}-4y=te^{4t}

y^{^{''}} - 4 y = t e^{4 t}

y^{''}+y^'+256/3 x=50cos(3x)

y^{^{''}} + y^{^{'}} + \frac{256}{3} x = 50 cos (3 x)

y^{''}-3y^'+y=x^2+x

y^{^{''}} - 3 y^{^{'}} + y = x^{2} + x

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

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

y^{''}-6y^'+8y=e^{-3t}

y^{^{''}} - 6 y^{^{'}} + 8 y = e^{- 3 t}