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Beliebt Rechnen >

y^{''}+4y=8t

Lösung

y^{^{''}} + 4 y = 8 t

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

Schritte zur Lösung

y^{''} (t) + 4 y = 8 t

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

Graph

Beliebte Beispiele

y^{''}+4y^'+6y=1+e^{-1},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- 1}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'+y=11e^x

y^{^{''}} - 2 y^{^{'}} + y = 11 e^{x}

y^{''}+4y=9t,y^'(0)=7

y^{^{''}} + 4 y = 9 t, y^{^{'}} (0) = 7

y^{''}+3y^'-4y=2cos(3x)

y^{^{''}} + 3 y^{^{'}} - 4 y = 2 cos (3 x)

y^{''}+2y^'+y=t^2-6

y^{^{''}} + 2 y^{^{'}} + y = t^{2} - 6