Differential equations is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Differential equations with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Differential equations questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
Also Read
BITSAT PYQs for Differential equations with Solutions
1.
If $ a, b $ are roots of the equation $ x^2 - 5x + 6 = 0 $, find the value of $ a^3 + b^3 $.- 125
- 215
- 98
- 35
2.
If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.- 194
- 1945
- 190
- 1940
3.
If \(f(x)=3 x^{4}+4 x^{3}-12 x^{2}+12,\) then f(x) is
- increasing in $(-\infty,-2)$ and in $(0,1)$
- increasing in $(-2,0)$ and in $(1, \infty)$
- decreasing in $(-2,0)$ and in $(0,1)$
- decreasing in $(-\infty,-2)$ and in $(1, \infty)$
4.
The solution of differential equation $2x \frac{dy}{dx} - y = 3$ represents a family of- circles
- straight lines
- ellipses
- parabola
5.
The number of solutions of the differential equation \[ \frac{dy}{dx} = \frac{y+1}{x-1} \] when \( y(1) = 2 \) is:- \({none}\)
- \({one}\)
- \({two}\)
- \({infinite}\)
6.
The solution of the differential equation $\frac{dy}{dx} = \frac{xy + y}{xy + x}$ is- $x + y - \log \frac{cy}{x} $
- $x + y = \log (cxy)$
- $x - y - \log \frac{cx}{y}$
- $y - x = \log \frac{cx}{y}$
Comments