Maths: Differential Equations: Homogeneous Differential Equations: Solved Example Problems with Answers, Solution and Explanation

Example 4.15

Solve the differential equation *y*2 *dx* + ( *xy* + *x*2 )*dy* = 0

*Solution*

Example 4.17

Find the particular solution of the differential equation *x* 2 *dy* + *y* ( *x* + *y*) *dx* = 0 given that *x* = 1, *y* = 1

*Solution:*

Example 4.18

If the marginal cost of producing *x* shoes is given by (3*xy* + *y*2 ) *dx* + (*x* 2 + *xy*) *dy* = 0 and the total cost of producing a pair of shoes is given by ₹12. Then find the total cost function.

*Solution:*

Given marginal cost function is (x2 + xy) dy + (3xy + y2)dx=0

Example 4.19

The marginal revenue ‘y’ of output ‘q’ is given by the equation . Find the total Revenue function when output is 1 unit and Revenue is ₹5.

*Solution:*

Tags : with Answer, Solution, Formula , 12th Business Maths and Statistics : Chapter 4 : Differential Equations

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12th Business Maths and Statistics : Chapter 4 : Differential Equations : Homogeneous Differential Equations: Solved Example Problems | with Answer, Solution, Formula

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