Reducible to Variables Separable

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

• Let y=y(x) be the solution of the differential equation (x+y+2)^2 d x=d y, y(0)=-2. Let the maximum and minimum values of the…20244 April, Shift 2 · Q27
• Let y=y(x) be the solution of the differential equation (d y)/(d x)=2 x(x+y)^3-x(x+y)-1, y(0)=1. Then, (1/(√2)+y(1/(√2)))^2…20241 February, Shift 1 · Q11
• If the solution of the differential equation (2 x+3 y-2) d x+(4 x+6 y-7) d y=0, y(0)=3, is α x+β y+3 log_e|2 x+3 y-γ|=6, then α+2…202427 January, Shift 1 · Q27
• Let y=y(x) be a solution curve of the differential equation. (1-x^2 y^2) d x=y d x+x d y If the line x=1 intersects the curve…202311 April, Shift 1 · Q20