Ammariah has finished 17/20 of her homework. How much more does she have to complete.
1 answer:
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Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that . Differentiate again to obtain,
. Repeating this process,
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
Answer:
x = , y =
<u>Explanation</u>:
2x - y= 2
3y= 4x - 5
<u>Make y the subject:</u>
2x - y= 2
-y = 2 - 2x
y = 2x - 2 <em>.........equation 1 </em>
3y= 4x - 5
y = (4x - 5)/3<em> ........equation 2</em>
From equation 1 and 2 solve them simultaneously:
→ (4x - 5)/3 = 2x - 2
→ 4x - 5= 3(2x - 2)
→ 4x - 5 = 6x - 6
→ 6x - 4x = -5 + 6
→ 2x = 1
→ x = 1/2
- if x is 1/2, then y: 2x - 2
→ 2(1/2)-2
→ -1