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Beliebt Rechnen >

y^{''}+y=6e^{-2x},y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + y = 6 e^{- 2 x}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{6}{5} cos (x) + \frac{12}{5} sin (x) + \frac{6}{5} e^{- 2 x}

Schritte zur Lösung

y^{''} (x) + y = 6 e^{- 2 x}

Solve linear ODE:

y = - \frac{6}{5} cos (x) + \frac{12}{5} sin (x) + \frac{6}{5} e^{- 2 x}

y = - \frac{6}{5} cos (x) + \frac{12}{5} sin (x) + \frac{6}{5} e^{- 2 x}

Graph

Beliebte Beispiele

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

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

y^{''}+16y=g(t),y(0)=0,y^'(0)=2

y^{^{''}} + 16 y = g (t), y (0) = 0, y^{^{'}} (0) = 2

y^{''}-2y^'+y=3x^{3/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = 3 x^{\frac{3}{2}} e^{x}

2y^{''}+5y^'+2y=xe^{-x},y(0)=0,y^'(0)=0

2 y^{^{''}} + 5 y^{^{'}} + 2 y = x e^{- x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+2y^'-3y=2e^x

y^{^{''}} + 2 y^{^{'}} - 3 y = 2 e^{x}