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

e^2y = 2x – 9

When y = 3 then,

e²⁽³⁾ = 2x – 9

e⁶ = 2x – 9

e⁶ + 9 = 2x