Q. 22

Solve the differential equation:


Answer :

we have given a differential equation



It can be written as




Then,



Now, divide numerator and denominator by x2


….(i)


Let y = v x …(ii)


Differentiate equation (ii) w.r.t. x, we get


- - - (iii)


Now, Compare the equation (i) and (iii), we get








Now, shift the coefficient of dv and dx





Now, Integrate both sides ,





By log m - log n = log m/n





Putting the value of v = from equation (ii)





Hence, This is the solution of the given differential equation


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