Bernoulli's Equation

JEE Main Mathematics · Differential Equations · 4 questions, latest first

• Let y=y(x) be the solution of the differential equation sec^2 x d x+(e^2 y tan^2 x+ tan x) d y=0,0<x<(π)/2, y(π / 4)=0. If y(π /…202431 January, Shift 2 · Q27
• Let y=y(x), y>0, be a solution curve of the differential equation (1+x^2) d y=y(x-y) d x. If y(0)=1 and y(2 √2)=β, then202312 April, Shift 1 · Q11
• Let α x= exp (x^β y^γ) be the solution of the differential equation 2 x^2 y d y-(1-x y^2) d x=0, x>0, y(2)=√(log_e 2). Then α+β-γ…20231 February, Shift 2 · Q72
• Let y=y(x) be the solution curve of the differential equation (d y)/(d x)=y/x(1+x y^2(1+ log_e x)), x>0, y(1)=3. Then (y^2(x))/9…202325 January, Shift 1 · Q71