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The order of the differential equation s...

The order of the differential equation satisfying `sqrt(1-x^4)+sqrt(1-y^4)=a(x^2-y^2)` is `1` b. `2` c. `3` d. `4`

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To determine the order of the differential equation satisfying the given equation \( \sqrt{1 - x^4} + \sqrt{1 - y^4} = a(x^2 - y^2) \), we can follow these steps: ### Step 1: Identify the equation The given equation is: \[ \sqrt{1 - x^4} + \sqrt{1 - y^4} = a(x^2 - y^2) \] ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

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  2. The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is gi...

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  3. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

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  4. The solution of the differential equation y1y3=y2^2 is a. x=C1e^(C2 \ ...

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  5. The general solution of the differential equation (dy)/(dx)+y\ g^(prim...

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  6. The solution of the differential equation (dy)/(dx)=1+x+y^2+x y^2,\ y(...

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  7. The differential equation of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=C is ...

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  8. Solution of the differential equation (dy)/(dx)+y/x=sinx is a. x(y+cos...

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  9. The solution of the differential equation 2x(dy)/(dx)-y=3 represents c...

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  10. The solution of the differential equation x(dy)/(dx)=y+xtany/x , is x ...

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  11. The differential equation which represents the family of curves y=e...

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  12. Which of the following transformations reduce the differential equatio...

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  13. The solution of the differential equation (dy)/(dx)=y/x+(varphi(y/x))/...

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  14. If m\ a n d\ n are the order the degree of the differential equation (...

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  15. The solution of the differential equation (dy)/(dx)-1=e^(x-y), is a. (...

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  16. The solution of x^2+y^2(dy)/(dx)=4 is a. x^2+y^2=12 x+C b. x^2+y^2=3x+...

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  17. The family of curves in which the sub tangent at any point of a curve ...

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  18. The solution of the differential equation x\ dx+y\ dy=x^2y\ dy-y^2x\ d...

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  19. The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 i...

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  20. The differential equation x(dy)/(dx)-y=x^2, has the general solution a...

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