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Popular >

simplify Ce^{-(2ln|t|+C)}

Solution

simplify

C e^{- (2 l n ∣ t ∣ + C)}

Solution

\frac{C}{e ^{C} t ^{2}}

Solution steps

C e^{- (2 l n ∣ t ∣ + C)}

Apply exponent rule:

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

= \frac{1}{e ^{(C + 2 l n ∣ t ∣)}} C

Remove parentheses:

(a) = a

= C \frac{1}{e ^{2 l n ∣ t ∣ + C}}

\frac{1}{e ^{2 l n ∣ t ∣ + C}} = \frac{1}{e ^{C} t ^{2}}

= \frac{1}{e ^{C} t ^{2}} C

Simplify

= \frac{C}{e ^{C} t ^{2}}

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Frequently Asked Questions (FAQ)

What is Ce^{-(2ln|t|+C)} ?
The solution to Ce^{-(2ln|t|+C)} is C/(e^Ct^2)