What is u(t-2)u(3-t)e^{-2t} ?

The solution to u(t-2)u(3-t)e^{-2t} is e^{-2t}u^2(t-2)(-t+3)

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simplify u(t-2)u(3-t)e^{-2t}

simplify

u (t - 2) u (3 - t) e^{- 2 t}

e^{- 2 t} u^{2} (t - 2) (- t + 3)

Solution steps

u (t - 2) u (3 - t) e^{- 2 t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

uu = u^{1 + 1}

= (t - 2) u^{1 + 1} (3 - t) e^{- 2 t}

Add the numbers:

1 + 1 = 2

= (t - 2) u^{2} (3 - t) e^{- 2 t}

(6 x) (4 x (x^{2} - 1))

(0.77) (5.67 \cdot 1 0^{- 8}) (242.3)^{4}

(4 x^{3}) (x \frac{3}{2})

(4 3 - 1) (3 - 6)

6.5 \times 1 0^{- 3}

What is u(t-2)u(3-t)e^{-2t} ?
The solution to u(t-2)u(3-t)e^{-2t} is e^{-2t}u^2(t-2)(-t+3)