Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms.y" + 8y' + 41y = 0, y = 1, y'  = 2

A. y = e-4t
B. y = e-4t
C. y = e-4t sin 5t
D. y = e-4t


Answer: A

Mathematics

You might also like to view...

Provide an appropriate response.True or false? The product of two negative numbers is negative.

A. True B. False

Mathematics

Apply Green's Theorem to evaluate the integral.(4y dx + 8y dy)C: The boundary of 0 ? x ? ?, 0 ? y ? sin x

A. 0 B. -8 C. 4 D. 8

Mathematics

Provide an appropriate response.Simplify: (2 - 3i) + (6 + i)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use a negative-angle identity to write an equivalent trigonometric expression involving a positive angle.cot 

A. -cot 
B. 1 - cot 
C. cot 
D. tan 

Mathematics