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Beliebt Rechnen >

y^{''}+2y^'+2y=5e^{6x}

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 5 e^{6 x}

Lösung

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{6 x}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + 2 y = 5 e^{6 x}

Solve linear ODE:

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{6 x}

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{1}{10} e^{6 x}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+xk+a=0

\frac{d ^{2} x}{d t ^{2}} + x k + a = 0

y^{''}-2y^'+y=x^{1/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{1}{2}} e^{x}

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

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

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

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

y^{''}-25y=cosh(5x)

y^{^{''}} - 25 y = cosh (5 x)