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Beliebt Rechnen >

y^{''}+2y^'+2y=1+x

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 1 + x

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 8 y^{^{'}} + 16 y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+4y=4cos(x)+3sin(x)-8

y^{^{''}} + 4 y = 4 cos (x) + 3 sin (x) - 8

y^{''}+4y^'+3y=12

y^{^{''}} + 4 y^{^{'}} + 3 y = 12

y^{''}+4y=2tan(2x)

y^{^{''}} + 4 y = 2 tan (2 x)

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

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