Laplace transform 2 | Laplace transform | Differential Equations | Khan Academy

When you multiply two exponential terms with the same base, like e^(x) and e^(y), what operation do you perform on their exponents?

• Add them together

• Subtract them

• Multiply them

• Divide them

For the Laplace Transform of e^(at) to have a definite value, what condition must be met regarding 's' and 'a'?

• s must be less than a

• s must be equal to a

• s must be greater than a

• s can be any value

What is the formula for the Laplace Transform of the function e^(at)?

• 1 / (a - s)

• 1 / (s - a)

• s - a

• a - s

If the Laplace Transform of e^(at) is 1/(s-a), what is the Laplace Transform of the number 1?

• 1/s

• s

• 1/(s-1)

• 1/(1-s)