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The number of arbitrary constants in ...

The number of arbitrary constants in the general solution of a differential equation of fourth order are: (A) 0 (B) 2 (C) 3 (D) 4

A

0

B

2

C

3

D

4

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The correct Answer is:
D
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(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Textbook:)
  1. The degree of the differential equation((d^2y)/(dx^2))^3+((dy)/(dx))^...

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  2. The order of the differential equation 2x^2(d^2y)/(dx^2)-3(dy)/(dx)+y=...

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  3. The number of arbitrary constants in the general solution of a diff...

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  4. The number of arbitrary constants in the particular solution of differ...

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  5. Which of the following differential equations has y=c(1)e^(x)+c(2)e^(-...

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  6. Which of the following differential equations has y = x as one of its...

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  7. The general solution of the differential equation (dy)/(dx)=e^(x+y)is...

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  8. Which of the following differential equation cannot be solved, using v...

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  9. A homogeneous differential equation of the from (dx)/(dy)=h(x/y)can ...

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  10. Which of the following is a homogeneous differential equation?(A) (4...

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  11. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  12. What is the integrating factor of the differential equation (1-y^(2))(...

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  13. The general solution of the differential equation (ydx-xdy)/(y)=0 is :

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  14. The general solution of a differential equation of the type (dx)/(d...

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  15. The general solution of the differential equation e x" "dy" "+" "(y...

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  16. The degree of the differential equation representing the family of cu...

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