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Differential Equations — BITSAT Mathematics PYQs

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

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Differential Equations — BITSAT Mathematics PYQs

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, 4 ) is

The general solution of the differential equation ( ⁻¹ y-x ) d y= (1+y² ) 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 d y d x = e x - y e x - e y is

If f ' x = f x + ∫ 0 1 f x d x , f 0 = 1 , then f x =

Solution of the differential equation d y d x = sin x + y + cos x + y is equal to

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

The solution of the differential equation d 2 y d x 2 = sin 3 x + e x + x 2 when y 1 0 = 1 and y 0 = 0 , is

The solution of d y d x = cos x + y + sin x + y , is

For any differentiable function y of x , d² x d y² ( d y d x )³+ d² y d x² =

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

If y= (x+ 1+x² )^ n , then (1+x² ) d² y d x² +x d y d x is

The degree of the differential equation satisfying 1-x² + 1+y² =a(x-y) is

Solution of differential equation x²=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)-y² f(x) where f(x) is a given function is

The differential equation whose solution is A x²+B y²=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 (x^2-y^2+2 y=1 ) is

Differential Equations — BITSAT Mathematics PYQs

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, 4 ) is

The general solution of the differential equation ( ⁻¹ y-x ) d y= (1+y² ) 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 d y d x = e x - y e x - e y is

If f ' x = f x + &#8747; 0 1 f x d x , f 0 = 1 , then f x =

Solution of the differential equation d y d x = sin x + y + cos x + y is equal to

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

The solution of the differential equation d 2 y d x 2 = sin 3 x + e x + x 2 when y 1 0 = 1 and y 0 = 0 , is

The solution of d y d x = cos x + y + sin x + y , is

For any differentiable function y of x , d² x d y² ( d y d x )³+ d² y d x² =

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

If y= (x+ 1+x² )^ n , then (1+x² ) d² y d x² +x d y d x is

The degree of the differential equation satisfying 1-x² + 1+y² =a(x-y) is

Solution of differential equation x²=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)-y² f(x) where f(x) is a given function is

The differential equation whose solution is A x²+B y²=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 (x^2-y^2+2 y=1 ) is

If f ' x = f x + ∫ 0 1 f x d x , f 0 = 1 , then f x =