1. Tardigrade
  2. Question
  3. Mathematics
  4. The particular solution of the differential equation (d y/d x)= sec y, y(0)=0 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The particular solution of the differential equation $\frac{d y}{d x}=\sec y, y(0)=0$ is

AP EAMCETAP EAMCET 2020

Solution:

Given, differential equation, $\frac{d y}{d x}=\sec y$
$\Rightarrow \int \cos y d y=\int d x$
$\Rightarrow \sin y=x+c$
$\therefore y(0)=0$
$\Rightarrow c=0$
$\therefore $ The required solution of differential equation is $x=\sin y$