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Beliebt Rechnen >

y^{''}-y=sin(t),<y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - y = sin (t), < y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

y = c_{1} e^{t} + c_{2} e^{- t} - \frac{1}{2} sin (t)

Graph

Beliebte Beispiele

5y^{''}+y^'=-2x,y(0)=0,y^'(0)=-20

5 y^{^{''}} + y^{^{'}} = - 2 x, y (0) = 0, y^{^{'}} (0) = - 20

4y^{''}-4y^'+y=e^{x/2}

4 y^{^{''}} - 4 y^{^{'}} + y = e^{\frac{x}{2}}

2y^{''}-y^'-y=xe^x

2 y^{^{''}} - y^{^{'}} - y = x e^{x}

y^{''}-4y^'+13(t)=0

y^{^{''}} - 4 y^{^{'}} + 13 (t) = 0

y^{''}-y^'=2e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} = 2 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0