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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x)) + \frac{e ^{2 x} x}{12}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x)) + \frac{e ^{2 x} x}{12}

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x)) + \frac{e ^{2 x} x}{12}

Graph

Beliebte Beispiele

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

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

y^{''''}+2y^{''}+y=3+cos(5t)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (5 t)

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

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

y^{''}-8y^'+16y=1-x+e^{4x}

y^{^{''}} - 8 y^{^{'}} + 16 y = 1 - x + e^{4 x}

y^{''}-y^'-6y=csc(x)

y^{^{''}} - y^{^{'}} - 6 y = csc (x)