Solve the following initial value problem: `(dy)/(dx)=ysin2x ,\ y(0)=1`

Explanation

Given differential equation `frac{d y}{d x}=y sin 2 x`

Find: Find the particular solution of this differential equation.

``
`=>frac{d y}{d x}=y cdot sin 2 x`

`=>frac{d y}{y}=sin 2 x d x`

``
Integrating both side

``
...