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Beliebt Rechnen >

y^{''}+3y^'+4y=20x+33

Lösung

y^{^{''}} + 3 y^{^{'}} + 4 y = 20 x + 33

Lösung

y = e^{- \frac{3 x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + 5 x + \frac{9}{2}

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 4 y = 20 x + 33

Solve linear ODE:

y = e^{- \frac{3 x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + 5 x + \frac{9}{2}

y = e^{- \frac{3 x}{2}} (c_{1} cos (\frac{7 x}{2}) + c_{2} sin (\frac{7 x}{2})) + 5 x + \frac{9}{2}

Graph

Beliebte Beispiele

y^{''}-2y^'+5y=cos(4x)+1

y^{^{''}} - 2 y^{^{'}} + 5 y = cos (4 x) + 1

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

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

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

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

y^{''}-4y^'+4y=t^{-3}e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{- 3} e^{2 t}

y^{''}+4y^'-32=0

y^{^{''}} + 4 y^{^{'}} - 32 = 0