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passes through a curve point (1,pi/4) an...

passes through a curve point `(1,pi/4)` and at some point Its gradation is given by `y/x-cos^2(y/x)` then equation of curve

A

`y =xtan^-1(lne/x)`

B

`y =xtan^-1(ln+2)`

C

`y=1/xtan^-1(lne/x)`

D

none

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
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  2. The equation of the curve passing through origin and satisfying the di...

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  3. passes through a curve point (1,pi/4) and at some point Its gradation ...

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  10. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

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  13. (dy)/(dx)+(3x^2)/(1+x^3)y=(sin^2x)/(1+x^3)

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  14. Solution of the equation (1 - x^2) dy + xy dx = xy^2dx is

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  15. Solve the differential equation (y^2+x^2)dx=(x^2+xy)dy

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  16. Find the particular solution of (cos x – x sin x +y^2)dx + 2xy dy = 0 ...

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  17. Orthogonal trajectories of family of the curve x^(2/3)+y^2/3=a^((2/3))...

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  18. The curve in the first quadrant for which the normal at any point (...

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