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Beliebt Rechnen >

y^{''}-4y^'+4y=4t^2-4t+26

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 t^{2} - 4 t + 26

Lösung

y = c_{1} e^{2 t} + c_{2} t e^{2 t} + t^{2} + t + 7

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 4 y = 4 t^{2} - 4 t + 26

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} t e^{2 t} + t^{2} + t + 7

y = c_{1} e^{2 t} + c_{2} t e^{2 t} + t^{2} + t + 7

Graph

Beliebte Beispiele

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

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

y^{''}+y^'=tan(t)

y^{^{''}} + y^{^{'}} = tan (t)

x^{''}-2x^'+2x=t

x^{^{''}} - 2 x^{^{'}} + 2 x = t

y^{''}-4y^'-2y=2e^{-3t},y(0)=1,y^'(0)=7

y^{^{''}} - 4 y^{^{'}} - 2 y = 2 e^{- 3 t}, y (0) = 1, y^{^{'}} (0) = 7

y^{''}+4y^'+12y=4x^2

y^{^{''}} + 4 y^{^{'}} + 12 y = 4 x^{2}