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Beliebt Rechnen >

y^{''}-4y=8x^2-2x

Lösung

y^{^{''}} - 4 y = 8 x^{2} - 2 x

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y = 8 x^{2} - 2 x

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

u^{''}-a*\H(x)=x,u^'(-1)=0,u^'(1)=0

u^{^{''}} - a \cdot H (x) = x, u^{^{'}} (- 1) = 0, u^{^{'}} (1) = 0

y^{''}+4y=e^{3t},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y = e^{3 t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+a^2y=cos(bt)

y^{^{''}} + a^{2} y = cos (b t)

y^{''}-12y^'+36y=7+2x

y^{^{''}} - 12 y^{^{'}} + 36 y = 7 + 2 x

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

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