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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- 4 x} + \frac{9}{125} sin (3 x) - \frac{13}{125} cos (3 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 4 x} + \frac{9}{125} sin (3 x) - \frac{13}{125} cos (3 x)

y = c_{1} e^{x} + c_{2} e^{- 4 x} + \frac{9}{125} sin (3 x) - \frac{13}{125} cos (3 x)

Graph

Beliebte Beispiele

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

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

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

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

y^{^{''}} - y = ln (t)

y^{''}-12y^'+36y=12x+5

y^{^{''}} - 12 y^{^{'}} + 36 y = 12 x + 5

y^{''}+4y=t^2+2e^t,y(0)=0,y^'(0)=3

y^{^{''}} + 4 y = t^{2} + 2 e^{t}, y (0) = 0, y^{^{'}} (0) = 3