Question

Solve :
$cos\left(\frac{dy}{dx}\right)=a,aϵR,y\left(o\right)=2$

Answer 1

$\cos \left(\frac{dy}{dx}\right)=a,\&y\left(0\right)=2$

$\int \frac{dy}{dx}=\int {\cos }^{-1}a$

$y=x.{\cos }^{-1}a+c$
$x=0,y=2$

$2=c$

$y=xco{s}^{-1}a+2$