Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202123 Sep 2021Morning ShiftMathematicsDifferential EquationsActual

If y= ₁₀ x+ _x 10+ _x x+ ₁₀ 10 , then d y d x =

Options

  1. A1 x _e + 1 x ₁₀ e
  2. B1 x _e 10 + _e 10 x ( ₁₀ e )^2
  3. C1 x _e10 + 1 x ₁₀ e
  4. D1 x _e 10 + ₀ 10 x ( _e x )^2

Correct answer

D. 1 x _e 10 + ₀ 10 x ( _e x )^2

Step-by-step solution

aligned & y= _e x _e 10 + _e 10 _e x +1+1 & d y d x = ( 1 _e 10 ) ( 1 x )+ ( _e 10 ) [ - 1 x ( _e x )^2 ] & = 1 x _e 10 - _e 10 x ( _e x )^2 aligned

Practice Differential Equations on Quantrex Academy →

More from Differential Equations

The general solution of the differential equation (x y x ) d y= (y y x -x ) d x is 2025The general solution of the differential equation (x+y) d y=d x is 2025If Ax ^3+ Bxy =4 (A and B are arbitrary constants) is the general solution of the differential equation F(x) d^2 y d x^2 +G(x) d y d x -2 y=0 , then F(1)+G(1)= 2025If y=A t^2+ B t (A,B are parameters) is general solution of the differential equation f(t) y^ (t)+g(t) y^ (t)+h(t) y=0 then 2 f(t)+t^2 h(t)= 2025The general solution of the differential equation (2 x-y)^2 d y-2(2 x-y)^2 d x-2 d x=0 is 2025The general solution of the differential equation x x d y=(x x-y) d x is 2025If a and b are arbitrary constants, then the differential equation corresponding to the family of curves y= (a x+b) is 2025The general solution of the differential equation x y(y+2) d y+ (y^3-1 ) d x=0 is 2025 Full Differential Equations list All MHT CET PYQs