Bill Goodwine's Courses

Reading: Chapter 8 from the course text.

Exercises: 8.1 - 8.8.

Professor,

For problem 8.6, the equation that you ask us to solve is missing.

jcorona wrote:For problem 8.6, the equation that you ask us to solve is missing.

No it's there, it's x''=0.

I'm confused about multiplication of solutions when finding inverse Laplace transforms. The table in the book shows the form for "convolution" and "time multiplication." What's the difference?

Can you factor out table forms and just combine their inverse transforms by multiplying? Or not?

jde98 wrote:I'm confused about multiplication of solutions when finding inverse Laplace transforms. The table in the book shows the form for "convolution" and "time multiplication." What's the difference?

Can you factor out table forms and just combine their inverse transforms by multiplying? Or not?

Not. The inverse Laplace transform of the product of two functions is NOT the product of the corresponding time functions. You have to do partial fractions. The Laplace transform is linear, so what you are trying to do works for addition and subtraction, but not multiplication.