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The number of arbitrary constants in the particular solution of a differential equation of third order are: (A) 3                 (B) 2                 (C) 1                 (D) 0

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answer is `0`

The number of arbitary constant in the of a differential equation is alwyas zero
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
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  2. The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

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  5. Find the sum of the order and degree of the differential equation y...

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  6. Find the solution of the differential equation x\ sqrt(1+y^2)dx+y\ sqr...

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  7. find the solution of the following differential equation x logx (dy)/...

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  8. The general solution of the differential equation dy / dx = y / x is

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  9. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  10. The degree of the differential equation ((d^2y)/(dx^2))^2-((dy)/(dx))=...

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  11. The degree of the differential equation {5+((dy)/(dx))^2}^(5//3)=x^5 \...

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  12. The general solution of the differentia equation (dy)/(dx)+ycotx = cos...

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  13. The differentia equation obtained on eliminating A and B from y=A c...

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  14. The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x...

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  15. The order of the differential equation whose general solution is given...

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

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  17. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

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

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

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

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