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Beliebt Rechnen >

y^{''}-2y^'+y=((-6e^t))/(t^2+1)

Lösung

y^{^{''}} - 2 y^{^{'}} + y = \frac{( - 6 e ^{t} )}{t ^{2} + 1}

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{t} ln (t^{2} + 1) - 6 e^{t} t arctan (t)

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + y = \frac{( - 6 e ^{t} )}{t ^{2} + 1}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{t} ln (t^{2} + 1) - 6 e^{t} t arctan (t)

y = c_{1} e^{t} + c_{2} t e^{t} + 3 e^{t} ln (t^{2} + 1) - 6 e^{t} t arctan (t)

Graph

Beliebte Beispiele

derivative f(x)=x^2arcsin(3x)

d er i v a t i v e f (x) = x^{2} arcsin (3 x)

f (x) = x^{5} e^{x}

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\frac{d r}{d θ} = (sin (π θ))^{4}

integral of 3e^{-x/2}

\int 3 e^{- \frac{x}{2}} d x

f (x) = 3 e^{x}