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The differential equation y(dy)/(dx) + x...

The differential equation `y(dy)/(dx) + x = c` represents

A

hyperbolas

B

parabolas

C

ellipses

D

circles

Text Solution

Verified by Experts

The correct Answer is:
d
Given that, `y(dy)/(dx) +x=C`
` rArr y dy = (C -x)dx`
On intgrating ,we get
` rArr int" y " dy = int (C-x) dx`
` (y^(2))/2 = Cx - (x^(2))/2 + d`
` rArr x^(2) +y^(2) - 2Cx - 2d =0`
which represents a family of circle .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. Solution of x (dy)/(dx) + y = x^(2) y^(4) is

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  2. The solution of differential equation (dt)/(dx) = (t[d/dx{g(x)}]-...

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  3. The differential equation y(dy)/(dx) + x = c represents

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  4. 8 The solution of differential equation (dy)/(dx)=y/x+(phi(y/x))/(phi'...

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  5. The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

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  6. The solution of the differential equation (dy)/(dx) = (x(2 log x...

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  7. A solution of y=2x (dy/dx) + x^2(dy/dx)^4 is

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  8. The solution of differential equation (dy)/(dx) + xy = xy^(2) is

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  9. Find the real value of m for which the substitution y=u^m will transfo...

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

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

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

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

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

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

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

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

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

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

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

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