What is y(x*e^{-0.5 x/L}) ?

The solution to y(x*e^{-0.5 x/L}) is (yx}{e^{\frac{0.5x)/L}}

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simplify y(x*e^{-0.5 x/L})

simplify

y (x \cdot e^{- 0.5 \frac{x}{L}})

\frac{y x}{e ^{\frac{0.5 x}{L}}}

Solution steps

y (x e^{- 0.5 \cdot \frac{x}{L}})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{0.5 \cdot \frac{x}{L}}} y x

\frac{1}{e ^{0.5 \cdot \frac{x}{L}}} = \frac{1}{e ^{\frac{0.5 x}{L}}}

= \frac{1}{e ^{\frac{0.5 x}{L}}} y x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot y x}{e ^{\frac{x \cdot 0.5}{L}}}

Multiply:

1 \cdot y = y

= \frac{y x}{e ^{\frac{x \cdot 0.5}{L}}}

2 a (3 a^{4} b) (6 a^{7} b)

(5 x - 3)^{3} (2 x + 9)^{3}

- 3.14 \cdot 1 0^{- 4} (0.1145 - 0)

2.41 \cdot 1 e^{- 3}

\frac{( y + 2 ) ^{2}}{( x + y - 1 ) ^{2}}

What is y(x*e^{-0.5 x/L}) ?
The solution to y(x*e^{-0.5 x/L}) is (yx}{e^{\frac{0.5x)/L}}