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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + \frac{1}{2} e^{- x} + \frac{x sin ( x )}{2} + x^{3} - 6 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + \frac{1}{2} e^{- x} + \frac{x sin ( x )}{2} + x^{3} - 6 x

y = c_{1} cos (x) + c_{2} sin (x) + \frac{1}{2} e^{- x} + \frac{x sin ( x )}{2} + x^{3} - 6 x

Graph

Beliebte Beispiele

y^{''}+y^'=x(e^{3x}+1)

y^{^{''}} + y^{^{'}} = x (e^{3 x} + 1)

f^{''}(t)+9*f(t)=(-2*e^{(3t)})

f^{^{''}} (t) + 9 \cdot f (t) = (- 2 \cdot e^{(3 t)})

y^{''}+4y^'+5y=10e^{-3x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 10 e^{- 3 x}

y^{''}+7y^'+12y=-432t^3

y^{^{''}} + 7 y^{^{'}} + 12 y = - 432 t^{3}

y^{''}+vy^'=ce^{(-r^2)}

y^{^{''}} + v y^{^{'}} = c e^{(- r^{2})}