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Beliebt Rechnen >

y^{''}-16y^'+64y=t^{-2}e^{8t}

Lösung

y^{^{''}} - 16 y^{^{'}} + 64 y = t^{- 2} e^{8 t}

Lösung

y = c_{1} e^{8 t} + c_{2} t e^{8 t} - e^{8 t} ln (t) - e^{8 t}

Schritte zur Lösung

y^{''} (t) - 16 y^{'} (t) + 64 y = t^{- 2} e^{8 t}

Solve linear ODE:

y = c_{1} e^{8 t} + c_{2} t e^{8 t} - e^{8 t} ln (t) - e^{8 t}

y = c_{1} e^{8 t} + c_{2} t e^{8 t} - e^{8 t} ln (t) - e^{8 t}

Graph

Beliebte Beispiele

tangent f(x)=sqrt(5x+75),\at x=5

t an g e n t f (x) = 5 x + 75, at x = 5

integral of (1+2x)/(1+x^2)

\int \frac{1 + 2 x}{1 + x ^{2}} d x

integral of 1/(sqrt((1+x^2)))

\int \frac{1}{( 1 + x ^{2} )} d x

limit as x approaches 1-of 3x

x \to 1 - lim (3 x)

derivative of sqrt(pi/(2x))

\frac{d}{d x} (\frac{π}{2 x})