I know you already got this answered, but I need points. Can I get brainliest?
-- 100% of the original number is ALL of it.
-- If it's increased by that amount, it becomes DOUBLE
(twice as much as) what it was originally.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
(2x+3y)(2x-3y)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
4x² - 9y²
= (2x)² - (3y)²
= (2x + 3y)(2x - 3y)
