A new sports equipment company, Sports EQUIP, sold 2,835 helmets in their second year
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Answer: The required solution of the given differential equation is
Step-by-step explanation: We are given to solve the following differential equation :
Let, be an auxiliary solution of equation (i).
Then,
Substituting these values in equation (i), we get
So, the general solution is given by
Then, we have
With the conditions given, we get
and
From equation (iii), we get
From equation (ii), we get
Therefore, the required solution of the given differential equation is
Let x% be the salt concentration of first solution.
Then in 8ml, amount of salt =
Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.
amount of salt in 11ml of 47% salt solution is =
So, total amount of salt in new mixture =
But given that this new solution is a 43% salt solution.
Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is
Hence
8x+517 = 817
8x=817-517 = 300
x= 300/8 = 37.5
Hence the salt concentration in the first solution is 37.5%