This DE has characteristic equation

with a repeated root at r = 3/2. Then the characteristic solution is

which has derivative

Use the given initial conditions to solve for the constants:


and so the particular solution to the IVP is

 
        
             
        
        
        
Answer:
0.2%
Step-by-step explanation:
2,000 people tested the new shampoo.
4 people had a mild allergic reaction.
4 is what percentage of 2,000?
0.2 percent.
(2,000 = %99.8)
 
        
             
        
        
        
Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)
      = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common
      = (x² + 2 ) ( x² - x - 2)
      = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)
             (x² + 2)= (x + √2 i) (x - √2 i)
             ( x² - x - 2) = (x -2 ) ( x+1)
 
        
             
        
        
        
Answer:
its B
Step-by-step explanation: just took test