1

JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

A solution curve of the differential equation

$$\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,$$ $$x>0,$$ passes through the

point $$(1,3)$$. Then the solution curve

$$\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,$$ $$x>0,$$ passes through the

point $$(1,3)$$. Then the solution curve

2

JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let $$f:(0,\infty ) \to R$$ be a differentiable function such that $$f'(x) = 2 - {{f(x)} \over x}$$ for all $$x \in (0,\infty )$$ and $$f(1) \ne 1$$. Then

3

JEE Advanced 2015 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Let $$y(x)$$ be a solution of the differential equation

$$\left( {1 + {e^x}} \right)y' + y{e^x} = 1.$$

If $$y(0)=2$$, then which of the following statement is (are) true?

$$\left( {1 + {e^x}} \right)y' + y{e^x} = 1.$$

If $$y(0)=2$$, then which of the following statement is (are) true?

4

JEE Advanced 2015 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

Consider the family of all circles whose centres lie on the straight line $$y=x,$$ If this family of circle is represented by the differential equation $$Py'' + Qy' + 1 = 0,$$ where $$P, Q$$ are functions of $$x,y$$ and $$y'$$ $$\left( {here\,\,\,y' = {{dy} \over {dx}},y'' = {{{d^2}y} \over {d{x^2}}}} \right)$$ then which of the following statements is (are) true?

Questions Asked from Differential Equations (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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