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Beliebt Rechnen >

y^{''}-4y^'=64-6e^{-x}

Lösung

y^{^{''}} - 4 y^{^{'}} = 64 - 6 e^{- x}

Lösung

y = c_{1} e^{4 x} + c_{2} - 16 x - \frac{6}{5} e^{- x}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) = 64 - 6 e^{- x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} - 16 x - \frac{6}{5} e^{- x}

y = c_{1} e^{4 x} + c_{2} - 16 x - \frac{6}{5} e^{- x}

Graph

Beliebte Beispiele

y^{'''}-4y^{''}+5y^'-2y=t^2

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} - 2 y = t^{2}

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

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

2y^{''}+5y^'-y=9

2 y^{^{''}} + 5 y^{^{'}} - y = 9

y^{''}+7y^'+12y=340cos(t)

y^{^{''}} + 7 y^{^{'}} + 12 y = 340 cos (t)

y^{''}+y=2,+ty(0)=1,y(0)=1

y^{^{''}} + y = 2, + t y (0) = 1, y (0) = 1