0 votes 0 votes The differential equation $x \frac{dy}{dx} -y=x^3$ with $y(0)=2$ has unique solution no solution infinite number of solutions none of these Others isi2017-dcg engineering-mathematics calculus non-gate differential-equation + – gatecse asked Sep 18, 2019 • retagged Nov 15, 2019 by Lakshman Bhaiya gatecse 321 views answer comment Share Follow See 1 comment See all 1 1 comment reply haralk10 commented Apr 3, 2020 reply Follow Share I think this DE will have no solution as to solve it, we will have to divide by $x$ on both sides of the DE to bring it into linear form. But by doing so, we assumed that $x\neq0$. But in the question specifically $y$ value is given at $x=0$ i.e $y(0)=2$. So Option B seems correct. 0 votes 0 votes Please log in or register to add a comment.