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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

0.5y^{''}+6y^'+50y=240cos(10t)

0.5 y^{^{''}} + 6 y^{^{'}} + 50 y = 240 cos (10 t)

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

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

y^{''''}-y=8t+cos(t)

y^{^{''''}} - y = 8 t + cos (t)

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

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

y^{''}-4y^'+5y=e^{-3t},y(0)=1,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{- 3 t}, y (0) = 1, y^{^{'}} (0) = 0