Answer:
y = 2.09x^2 + 0.33x + 3.06
Detailed explanation:
Answer:
Step-by-step explanation:
Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;
By substituting v and dv/dx into the previous equation, we acquire;
We then separate the variables:
The end expression provides the solution to the differential equation.
Given that the salt concentration in a 125 ml salt solution is at 20%, it indicates a salt to water ratio of 20:80, which simplifies to 1:4.
Consequently, the salt quantity in the 125 ml 20% solution can be calculated as 20% of 125, yielding 0.2 x 125 = 25 ml, and therefore, the water content amounts to 125 - 25 = 100 ml.
When adding 25 ml of water to this 20% salt solution, the total water becomes 100 + 25 = 125 ml while the salt quantity remains at 25 ml.
Thus, the new total volume of the solution is 125 + 25 = 150 ml, leading to a salt proportion in the updated mixture of 25/150 = 0.1667.
As a result, the concentration of the new solution <span>after mixing 25 ml of water with 125 ml of a 20% salt solution is 16.67%</span>
