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The degree of the differential equation ...

The degree of the differential equation `x=1+((dy)/(dx))+1/(2!)((dy)/(dx))^2+1/(3!)((dy)/(dx))^3+.............` (A) 3 (B) 2 (C) 1 (D) not defined

A

3

B

1

C

not defined

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`x=e^((dy)/(dx))rArrlogx=(dy)/(dx)`
Clearly, it is differential of degree one.
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Section I - Solved Mcqs
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  12. The differential equation of all parabolas whose axis are parallel t...

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  14. The differential equation of the family of curves of x^(2)+y^(2)-2ay=0...

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  15. The equation of the curve in which the portion of the tangent included...

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

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  17. If the solution of the differential equation (dy)/(dx ) =( ax+ 4) /( 2...

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  18. Integral curve satisfying Y'=(x^2 +y^2)/(x^2-y^2) y' (1) ne 1 has th...

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  19. Solution of equation (xy^4 + y) dx – xdy = 0 is

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  20. The solution of the differential equation (x+y)(dx-dy)=dx+dy is

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