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Beliebt Rechnen >

y^{''}+y=sin(t),y(0)=9,y^'(0)=1

Lösung

y^{^{''}} + y = sin (t), y (0) = 9, y^{^{'}} (0) = 1

Lösung

y = 9 cos (t) + \frac{3}{2} sin (t) - \frac{t cos ( t )}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = 9 cos (t) + \frac{3}{2} sin (t) - \frac{t cos ( t )}{2}

y = 9 cos (t) + \frac{3}{2} sin (t) - \frac{t cos ( t )}{2}

Graph

Beliebte Beispiele

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

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

3x^{''}+108x=15e^{-5t}cos(4t)

3 x^{^{''}} + 108 x = 15 e^{- 5 t} cos (4 t)

y^{''}+y^'-27=xe^x

y^{^{''}} + y^{^{'}} - 27 = x e^{x}

y^{''}+5y^'-9y=e^{4x}

y^{^{''}} + 5 y^{^{'}} - 9 y = e^{4 x}

D(x)=(x-11/2)^2+x

D (x) = (x - \frac{11}{2})^{2} + x