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BITSAT Differential Equations PYQs with Solutions

27 previous year questions from Differential Equations (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

27 questionsMathematics2009–2024Answers + solutions

About Differential Equations PYQs

Differential Equations has 27 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 27 questions in this list come from BITSAT (27), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Differential Equations PYQs with Solutions

About Differential Equations PYQs

Questions by year (this list)

Differential Equations questions with solutions

The solution of the differential equation (x+1) (d y)/(d x)-y=e^ 3 x (x+1)^2 is

If (d y)/(d x)-y _e 2=2^ x ( x-1) _e 2 , then y

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

The number of solutions of (d y)/(d x)=(y+1)/(x-1) , when y(1)=2 is

((d y)/(d x)) x=y ^2 x+ x , find general solution

If the slope of the tangent to the curve at any point P(x, y) is (y)/(x)- ^ 2 (y)/(x) , then the equation of a curve passing through (1, (π)/(4)) is

The general solution of the differential equation ( ^ -1 y-x) d y=(1+y^ 2 ) d x is

The solution of the differential equation (x+1) (d y)/(d x)-y=e^ 3 x (x+1)^ 2 is

The solutions of (x+y+1) d y=d x are

Solution of the equation (dy)/(dx) = e^ x - y (e^ x - e^ y ) is

If f^ ' (x) = f(x) + &#8747; _ 0 ^ 1 f(x)dx, f(0) = 1 , then f(x) =

Solution of the differential equation (dy)/(dx) = sin (x + y) + cos (x + y) is equal to

The equation of the curve whose slope at any point is equal to y + 2x and which passes through the origin is

The solution of the differential equation d^ 2 y dx^ 2 = sin3x + e^ x + x^ 2 when y _ 1 (0) = 1 and y(0) = 0 , is

The solution of (dy)/(dx) = cos (x + y) + sin (x + y), is

For any differentiable function y of x , d^ 2 x d y^ 2 ((d y)/(d x))^ 3 + d^ 2 y d x^ 2 =

If φ(x) is a differential function, then the solution of the differential equation dy+\ y φ^ (x)-φ(x)..φ^ (x)\ d x=0, is

If y=(x+ 1+x^ 2 )^ n , then (1+x^ 2 ) d^ 2 y d x^ 2 +x (d y)/(d x) is

The degree of the differential equation satisfying 1-x^ 2 + 1+y^ 2 =a(x-y) is

Solution of differential equation x^ 2 =1+((x)/(y))^ -1 (d y)/(d x)+ ((x)/(y))^ -2 ((d y)/(d x))^ 2 2 ! + ((x)/(y))^ -3 ((d y)/(d x))^ 3 3 ! +… is

The general solution of the differential equation (d y)/(d x)+ (x+y)= (x-y) is

The solution to the differential equation (d y)/(d x)= y f^ (x)-y^ 2 f(x) where f(x) is a given function is

The differential equation whose solution is A x^ 2 +B y^ 2 =1 where A and B are arbitrary constants is of

The degree of the differential equation \( ((d^3 y)/(d x^3))^ 2 / 3 + 4-3 (d^2 y)/(d x^2)+ 5 (d y)/(d x)= 0\) is

The area of the region bounded by the curve \(y=x|x|, x\)-axis and the ordinates \(x=1, x=-1\) is given by :

What is the solution of \((d y)/(d x)+2 y=1\) satisfying \(y(0)=0\) ?

Area of the triangle formed by the line \(x+y=3\) and angle bisectors of the pair of straight lines \(x²-y²+2 y=1\) is

Related BITSAT Mathematics chapters

Differential Equations in other exams

If f^ ' (x) = f(x) + ∫ _ 0 ^ 1 f(x)dx, f(0) = 1 , then f(x) =