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Solve sec^(2)x tany dx+sec^(2)y tanx dy=...

Solve `sec^(2)x tany dx+sec^(2)y tanx dy=0`

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The correct Answer is:
`tan x .tan y=K`
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VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE ADVANCE (ARCHIVE )
  1. Solve sec^(2)x tany dx+sec^(2)y tanx dy=0

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  2. The differential equation (dy)/(dx) = (sqrt(1- y ^(2)))/(y) determinea...

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  3. The differential equation representing the family of curves y^2=2c(...

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  4. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

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  5. Prove that for x in [0, (pi)/(2)], sin x + 2x ge (3x(x + 1))/(pi).

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  6. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  7. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  8. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  9. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

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  10. Consider the statements : P : There exists some x IR such that f(x)...

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  11. The function y=f(x) is the solution of the differential equation (d...

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  12. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

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  13. Let the f (x) be differentiabe function on the interval (0,oo) such ...

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  14. Integrating factor of sec^2y dy/dx+x tany=x^3

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  15. Let u(x) and v(x) be two continous functions satisfying the different...

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  16. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  17. A curve passes through the point (1,pi/6) . Let the slope of the curve...

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  18. Tangent is drawn at any point P of a curve which passes through (1, 1...

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  19. A spherical rain drop evaporates at a rate proportional to its surf...

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  20. If length of tangent at any point on the curve y=f(x). Intercepted bet...

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  21. A right circular cone with radius R and height H contains a liquid whi...

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