Answer theas question

(1) Both equations in (a) and (b) are separable.

(a)

Expand both sides into partial fractions.

Integrate both sides:

(You could solve for y explicitly, but that's just more work.)

(b)

Integrate both sides:

(2)

(a)

Multiply both sides by an integrating factor, sec(x) + tan(x) :

Integrate both sides and solve for y :

(b)

(Note that the right side is also written as sinh(x).)

Multiply both sides by e ˣ :

Integrate both sides and solve for y :

(c) I've covered this in an earlier question of yours.

(d)

Multiply through the right side by x/x :

Substitute y(x) = x v(x), so that y' = xv' + v, and the DE becomes separable:

answer: the answer is 127 degrees

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.