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Beliebt Rechnen >

y^{''}-5y^'+6y=x^2-4

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{2} - 4

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{6} + \frac{5 x}{18} - \frac{53}{108}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = x^{2} - 4

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{6} + \frac{5 x}{18} - \frac{53}{108}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{2}}{6} + \frac{5 x}{18} - \frac{53}{108}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=xe^{-x}+4

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

y^{''}-14y^'+49y=10e^{7x}

y^{^{''}} - 14 y^{^{'}} + 49 y = 10 e^{7 x}

y^{''}+y^'-12y=sin(t),y(0)=1,y^'(0)=1

y^{^{''}} + y^{^{'}} - 12 y = sin (t), y (0) = 1, y^{^{'}} (0) = 1

solvefor y,(d^2+5d+6)y=(d+1)6t^2

so l v e f or y, (d^{2} + 5 d + 6) y = (d + 1) 6 t^{2}

y^{''}-6y^'+10y=10x^2+8x

y^{^{''}} - 6 y^{^{'}} + 10 y = 10 x^{2} + 8 x