A bank has a fixed the rate of interest 8% p.a semi aaunually compound interest in account X and 12% p.a annually compound inter
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Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± = ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
we are given
differential equation as
we are given
Firstly, we will find y' , y'' and y'''
those are first , second and third derivative
First derivative is
Second derivative is
Third derivative is
now, we can plug these values into differential equation
and we get
now, we can factor out common terms
we can move that term on right side
now, we can factor out
now, we can set them equal
so, we will get
...............Answer