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Beliebt Rechnen >

y^{''}-2y^'+y=x^2-1

Lösung

y^{^{''}} - 2 y^{^{'}} + y = x^{2} - 1

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 5

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 5

y = c_{1} e^{x} + c_{2} x e^{x} + x^{2} + 4 x + 5

Graph

Beliebte Beispiele

tangent y=(sqrt(5))^x,\at x=6

t an g e n t y = (5)^{x}, at x = 6

limit as x approaches-2 of (-1)/((x+2))

x \to - 2 lim (\frac{- 1}{( x + 2 )})

derivative of (2x-1^3(x+1)^5)

\frac{d}{d x} ((2 x - 1)^{3} (x + 1)^{5})

t^2y^{''}+3ty^'+y= 1/t

t^{2} y^{^{''}} + 3 t y^{^{'}} + y = \frac{1}{t}

limit as x approaches 0 of 1/(3+x)-1/3

x \to 0 lim (\frac{1}{3 + x} - \frac{1}{3})