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Beliebt Rechnen >

y^{''}-y=x+sin(x)

Lösung

y^{^{''}} - y = x + sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - y = x + sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-25y=xe^x

y^{^{''}} - 25 y = x e^{x}

y^{''}+4y^'+4y=8x

y^{^{''}} + 4 y^{^{'}} + 4 y = 8 x

y^{''}+4y^'+3y=sin(e^x)

y^{^{''}} + 4 y^{^{'}} + 3 y = sin (e^{x})

y^{''}-y^'-6y=-e^x+12x,y^'(0)=-2,y(0)=1

y^{^{''}} - y^{^{'}} - 6 y = - e^{x} + 12 x, y^{^{'}} (0) = - 2, y (0) = 1