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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 3 x + 5

Schritte zur Lösung

y^{''} (x) + y^{'} (x) + y = 3 x + 8

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 3 x + 5

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 3 x + 5

Graph

Beliebte Beispiele

4y^{''}-4y^'+y=16e^{x/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e^{\frac{x}{2}}

y^{''}-y^'=e^xsin(x)

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

y^{''}+2y^'-3y=cos(2x)

y^{^{''}} + 2 y^{^{'}} - 3 y = cos (2 x)

y^{'''}-y^{''}-4y^'+4y=20e^{3t}

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 y = 20 e^{3 t}

y^{^{''}} - 4 y = 12