with Answer, Solution, Formula | Differential Equations - First order and first degree differential: Solved Example Problems | 12th Business Maths and Statistics : Chapter 4 : Differential Equations
Chapter: 12th Business Maths and Statistics : Chapter 4 : Differential Equations
First order and first degree differential: Solved Example Problems
First order and first degree differential
Example 4.6
Solve: ( x2 + x +1) dx + ( y2 - y + 3)dy = 0
Solution:
Example 4.12
The marginal cost function of manufacturing x gloves is 6 + 10x − 6x2 . The total cost of producing a pair of gloves is ₹100. Find the total and average cost function.
Solution:
Example 4.13
The normal lines to a given curve at each point ( x, y) on the curve pass through the point (1,0). The curve passes through the point (1,2). Formulate the differential equation representing the problem and hence find the equation of the curve.
Solution:
Example 4.14
The sum of ₹2,000 is compounded continuously, the nominal rate of interest being 5% per annum. In how many years will the amount be double the original principal? (loge 2 = 0.6931)
Solution:
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