Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Mathematics
Chapter
Differential Equations

BITSAT 2023 · Paper 2 · Mathematics · Differential Equations

The integrating factor of (x d y)/(d x)-y=x^4-3 x is

The integrating factor of xdydx−y=x4−3x\frac{x d y}{d x}-y=x^4-3 x is

Options

  1. A
    x
  2. Blog⁡x\log x
  3. C1x\frac{1}{x}
  4. D−X-\mathbf{X}

Correct answer

C. 1x\frac{1}{x}

Step-by-step solution

 (c) Since xdydx−y=x4−3x∴dydx−yx=x3−3\begin{aligned} \\ & \text{ (c) Since } x \frac{d y}{d x}-y=x^4-3 x \\ \\ & \therefore \frac{d y}{d x}-\frac{y}{x}=x^3-3 \\ \end{aligned}Hence IF=e∫Pdx=e−∫1xdx=e−log⁡x=1xI F=e^{\int P d x}=e^{-\int \frac{1}{x} d x}=e^{-\log x}=\frac{1}{x}
Practice Differential Equations on Quantrex Academy →

More from Differential Equations

The solution of the differential equation (x+1) (d y)/(d x)-y=e^ 3 x (x+1)^2 is BITSAT 2024If (d y)/(d x)-y _e 2=2^ x ( x-1) _e 2 , then y BITSAT 2024The number of solutions of (d y)/(d x)=(y+1)/(x-1) , when y(1)=2 is BITSAT 2023((d y)/(d x)) x=y ^2 x+ x , find general solution BITSAT 2022If the slope of the tangent to the curve at any point P(x, y) is (y)/(x)- ^ 2 (y)/(x)… BITSAT 2021The general solution of the differential equation ( ^ -1 y-x) d y=(1+y^ 2 ) d x is BITSAT 2021The solution of the differential equation (x+1) (d y)/(d x)-y=e^ 3 x (x+1)^ 2 is BITSAT 2020The solutions of (x+y+1) d y=d x are BITSAT 2020Solution of the equation (dy)/(dx) = e^ x - y (e^ x - e^ y ) is BITSAT 2019If f^ ' (x) = f(x) + ∫ _ 0 ^ 1 f(x)dx, f(0) = 1 , then f(x) = BITSAT 2019Solution of the differential equation (dy)/(dx) = (x + y) + (x + y) is equal to BITSAT 2018The equation of the curve whose slope at any point is equal to y + 2x and which passes… BITSAT 2018The solution of the differential equation d^ 2 y dx^ 2 = 3x + e^ x + x^ 2 when y _ 1 (0)… BITSAT 2018The solution of (dy)/(dx) = (x + y) + (x + y), is BITSAT 2017For any differentiable function y of x , d^ 2 x d y^ 2 ((d y)/(d x))^ 3 + d^ 2 y d x^ 2 = BITSAT 2016If φ(x) is a differential function, then the solution of the differential equation dy+\ y… BITSAT 2015 Full Differential Equations list Differential Equations JEE Maths PYQsJEE Mathematics PYQs All BITSAT PYQs