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Beliebt Rechnen >

y^{''}+2y^'-3y=4e^{-3x}+10sin(x)

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 4 e^{- 3 x} + 10 sin (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = 4 e^{- 3 x} + 10 sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}+2y^{''}+y=9t+10

y^{^{''''}} + 2 y^{^{''}} + y = 9 t + 10

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

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

y^{''}-6y^'+9y=x+1

y^{^{''}} - 6 y^{^{'}} + 9 y = x + 1

7y^{''}=5y-3/2 x^2,y(0)=0,y^'(2)=0

7 y^{^{''}} = 5 y - \frac{3}{2} x^{2}, y (0) = 0, y^{^{'}} (2) = 0

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

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