7/25/2019 HW1asd

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Math 294

Homework #1

due: Monday, 2/8

1) Show that if and are positive constants, and is any real number, then every solution of the equationa b

y ey +a =b x

has the property that as .y 0 x

Hint: consider the cases and separately.a= =a /

2) Show that any separable equation

(x) (y) yM +N = 0

is also exact.

3) Read the suspended cable section on page 26. Then complete problem 57 in section 2.2.

4) Problem 56 in section 2.3