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Beliebt Rechnen >

9y^{''}-6y^'+y=9-x^2

Lösung

9 y^{^{''}} - 6 y^{^{'}} + y = 9 - x^{2}

Lösung

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{\frac{x}{3}} x - x^{2} - 12 x - 45

Schritte zur Lösung

9 y^{''} (x) - 6 y^{'} (x) + y = 9 - x^{2}

Solve linear ODE:

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{\frac{x}{3}} x - x^{2} - 12 x - 45

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{\frac{x}{3}} x - x^{2} - 12 x - 45

Graph

Beliebte Beispiele

y^{''}-y^'-2y=sin(3t),y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 2 y = sin (3 t), y (0) = 1, y^{^{'}} (0) = - 1

y^{''}-2y^'+5y=1+t,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 1 + t, y (0) = 0, y^{^{'}} (0) = 1

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

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

y^{''}-2y^'+5=0

y^{^{''}} - 2 y^{^{'}} + 5 = 0

y^{''}-8y^'+20y=200x^2-39

y^{^{''}} - 8 y^{^{'}} + 20 y = 200 x^{2} - 39