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If x^2+y^2=1 then (y'=dy/dx, y''=(d^2y)/...

If `x^2+y^2=1` then `(y'=dy/dx, y''=(d^2y)/dx^2)`

A

` yy'' - 2(y)^(2) + 1 = 0 `

B

`yy'' + (y')^(2) +1=0`

C

` yy'' - (y')^(2) - 1 = 0 `

D

` yy'' +2 (y')^(2) +1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
b
On differentiating given equation w.r.t x, we get,
` 2x +2yy' = 0 or x +yy' =0`
On differetiating above eqaution w.r.t x, we get
` 1+ (y')^(2) +yy'' =0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. Find the real value of m for which the substitution y=u^m will transfo...

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  2. The solution of differential equation (dy)/(dx) = e^(x-y) + x^(2)e^(-y...

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  3. If x^2+y^2=1 then (y'=dy/dx, y''=(d^2y)/dx^2)

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

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  5. Solution of the differential equation (dy)/(dx)+ytanx=x^(n)cosx is

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  6. The solution of differential equation (xy^(5)+2y)dx-xdy =0, is

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  7. The solution of the differential equation dy/dx=sin(x+y)+cos(x+y) is:

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  8. The solution of the differential equation x^(4)(dy)/(dx)+x^(3)y+"cosec...

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  9. If the solution of the differential equation (dy)/(dx)=(ax+3)/(2y+f)...

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  10. If xdy = y(dx + ydy); y(1) = 1 and y(x) > 0, then what is y(-3) equal ...

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  11. Solve: (dy)/(dx) = (yf^(')(x)-y^(2))/(f(x))

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  12. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

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  13. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

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  14. The solution of the differential of the differential equation (dy)/...

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  15. The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2...

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  16. The solution of differential equation cos x dy = y (sin x - y ) dx,...

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  17. The equation of one of the curves whose slope of tangent at any point ...

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  18. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  19. The solution of (dy)/(dx) = (ax + h)/(by + k) represents a parabola wh...

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  20. The solution of differential equation [ e^(-2sqrt(2))/(sqrt(x))-y/(...

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