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Beliebt Rechnen >

(d^2-d)y=e^xcos(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+17y^'+30y=cos(2t)

y^{^{''}} + 17 y^{^{'}} + 30 y = cos (2 t)

e^xy^{''}+2e^xy^'+5e^xy=sin(2x)

e^{x} y^{^{''}} + 2 e^{x} y^{^{'}} + 5 e^{x} y = sin (2 x)

y^{'''}-13y^{''}+36y^'=72e^x

y^{^{'''}} - 13 y^{^{''}} + 36 y^{^{'}} = 72 e^{x}

y^{''}+5y^'=x+2

y^{^{''}} + 5 y^{^{'}} = x + 2

y^{''}+5y+4y=5e^{-5x},y(0)=-2,y^'(0)=2

y^{^{''}} + 5 y + 4 y = 5 e^{- 5 x}, y (0) = - 2, y^{^{'}} (0) = 2