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Beliebt Rechnen >

y^{''}+y^'+y=kx

Lösung

y^{^{''}} + y^{^{'}} + y = k x

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + k x - k

Schritte zur Lösung

y^{''} (x) + y^{'} (x) + y = k x

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + k x - k

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + k x - k

Graph

Beliebte Beispiele

y^{''}-y^'-2y=2x^3-3x^2+8x+1

y^{^{''}} - y^{^{'}} - 2 y = 2 x^{3} - 3 x^{2} + 8 x + 1

y^{''}+16y=8e^{3x}

y^{^{''}} + 16 y = 8 e^{3 x}

y^{''}+4y^'+5y=e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 5 y = e^{- 2 x}

y^{''}+4y=sin(x),y^'(pi)=0,y(0)=0

y^{^{''}} + 4 y = sin (x), y^{^{'}} (π) = 0, y (0) = 0

y^{'''}-19y^'+30y=x^2e^{2x}

y^{^{'''}} - 19 y^{^{'}} + 30 y = x^{2} e^{2 x}