Q. 35.0( 3 Votes )

Given that and y = 0 when x = 5.

Find the value of x when y = 3.

Answer :

given: and (5,0) is a solution of this equation


To find: solution of the given differential equation


Re-writing the equation as



Now integrating both sides




Formula:



Now it is given that (5,0) is solution to this equation, so satisfying these values to find c




Hence the solution is



e2y = 2x – 9


When y = 3 then,


e2(3) = 2x – 9


e6 = 2x – 9


e6 + 9 = 2x



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