CUET MathematicsCalculus > Easycommon11122233332\frac{3}{2}23✅ Correct Option: 2Related questions:27 May Shift 1The particular solution of the differential equation dydx+3yx=0\frac{dy}{dx} + \frac{3y}{x} = 0dxdy+x3y=0, y(1)=1y(1) = 1y(1)=1 is29 May Shift 2For the differential equation xdydx+3y=x2logexx\frac{dy}{dx} + 3y = x^2\log_e xxdxdy+3y=x2logex, which of the following statements are TRUE? (A) Product of order and degree is 1 (B) Integrating factor is x3x^3x3 (C) Integrating factor is 3x3x3x (D) General solution is y=x336(6loge∣x∣−1)+Cx−3y = \frac{x^3}{36}(6\log_e|x| - 1) + Cx^{-3}y=36x3(6loge∣x∣−1)+Cx−3, C is an arbitrary constant. Choose the correct answer from the options given below:30 May Shift 1The differential equation representing the family of curves y=Ax+Bxy = Ax + \frac{B}{x}y=Ax+xB, x≠0x \neq 0x=0 where A and B are arbitrary constants, is given by