1

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?

2

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?

3

IIT-JEE 2012 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

If $$y(x)$$ satisfies the differential equation $$y' - y\,tan\,x = 2x\,secx$$ and $$y(0)=0,$$ then

4

IIT-JEE 2006

MCQ (More than One Correct Answer)

+5

-1.25

A curve $$y=f(x)$$ passes through $$(1,1)$$ and at $$P(x,y),$$ tangent cuts the $$x$$-axis and $$y$$-axis at $$A$$ and $$B$$ respectively such that $$BP:AP=3:1,$$ then

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

Number in Brackets after Paper Indicates No. of Questions

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