Solve the following initial value problem:
The given differential Equation is .
Find: Find the particular solution of this differential equation.
=
=
Now Integrating Both sides
=
=
= …..(1)
Put x = 1, y = 1
= 2 log(1)=5log(1) + C
= 0 = C
Put the value of C in equation (1)
= 2log |y| = 5log|x|
= y5 = |x|2
Hence, y = |x|5/2