Solve the following initial value problem: An initial value problem is shown, consisting of a differential equation dy/dx = y tan 2x and an initial condition y(0) = 2.

Q39 of 462 Page 23

Solve the following initial value problem:

Given differential equation

Find: Find the general solution of this differential equation.

Integrating both sides,

= .....(i)

Put x =0, y = 2

2 ⟹

2 = C

Put value of C in (i)

Hence, y =

Solve the following initial value problem: