List of top Mathematics Questions on Solutions of Differential Equations

 The solution of the differential equation \[ (x-1)\frac{dx}{dy}+(y-2)=0, \] given that \(x=1\) when \(y=1\), represents a: 

Match List-I with List-II:
General solution of the differential equation \( (x + 2y^3) dy = y dx \) is (Where C is an arbitrary constant)
Match List-I (Differential equations) with List-II (Order and Degree).
Particular solution of the differential equation \[ \frac{dy}{dx}+2y^{2}=0,\quad y(1)=1 \] is:
Solve: \[ \frac{dy}{dx} = y\tan x \]
Solve: \( \frac{dy}{dx}=3x^2 \)