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Beliebt Rechnen >

y^{''}+9y=4x

Lösung

y^{^{''}} + 9 y = 4 x

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{4 x}{9}

Schritte zur Lösung

y^{''} (x) + 9 y = 4 x

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{4 x}{9}

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{4 x}{9}

Graph

Beliebte Beispiele

(D^4-4D^2)y=5x^2-e^{2x}

(D^{4} - 4 D^{2}) y = 5 x^{2} - e^{2 x}

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

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

y^{''}+25y=50sin(5t)

y^{^{''}} + 25 y = 50 sin (5 t)

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

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

y^{''}+2y^'+y=t^5e^{-5t}

y^{^{''}} + 2 y^{^{'}} + y = t^{5} e^{- 5 t}