List of top Mathematics Questions on Differential equations asked in BITSAT

If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.
If $ a, b $ are roots of the equation $ x^2 - 5x + 6 = 0 $, find the value of $ a^3 + b^3 $.
If φ(x) is a differentiable function, then the solution of the differential equation dy+yφ'(x)-φ(x)φ'(x)dx=0 is
The integrating factor of the differential equation
\[ \sin x \frac{dy}{dx} + 2y \cos x = 1 \]
is:
The expression satisfying the differential equation \[ (x^2 - 1) \frac{dy}{dx} + 2xy = 1 \] is:
If \(\phi(x)\) is a differentiable function, then the solution of the differential equation \[ dy+y\phi'(x)-\phi(x)\phi'(x)\,dx=0 \] is
Solution of differential equation \[ x^2-1+\left(\frac{x}{y}\right)^{-1}\frac{dy}{dx} +\frac{x^2}{2!}\left(\frac{dy}{dx}\right)^2 +\frac{x^3}{3!}\left(\frac{dy}{dx}\right)^3+\cdots=0 \] is
The general solution of the differential equation \[ \frac{dy}{dx} + \sin(x + y) = \sin(x - y) \] is
The solution to the differential equation \[ \frac{dy}{dx} = \frac{yf'(x) - y^2}{f(x)} \] where \( f(x) \) is a given function is
What is the solution of dydx+2y=1 satisfying y(0)=0?
The solution of differential equation 2xdydx-y=3 represents a family of
Question: If |r| > 1 and
x = a + a/r² + a/r⁴ + · · ·,
y = b - b/r² + b/r⁴ - · · ·,
z = c + c/r² + c/r⁴ + · · ·,
then xyz is equal to:
Solution of differential equation (dy)/(dx)+(y)/(x)= x
The value of ₓₒ₀((4ˣ-1)³)/(x²(1+3x)) is
The equation of tangent to the curve y= x at the point (π,0) is
If (2 x- x+λ)/( x+ x-2)dx = A| x+ x-2|+Bx+C, then the ordered triplet (A,B,λ) is