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Which of the following is a homogeneous ...

Which of the following is a homogeneous differential equation? `(4 x+6 y+5) d y-(3 y+2 x+4) d x=0`
`x y d x-(x^3+y^3) d y=0`
`(x^3+2 y^2) d x+2 x y d y=0`
`y^2 d x+(x^2-x y-y^2) d y=0`

A

(4x + 6y + 5)dy - (3y + 2x + 4) dx = 0

B

(xy)dx - `(x^3 + y^3)`dy = 0

C

`(x^3 + 2y^2)`dx + 2xy dy = 0

D

`y^2 dx + (x^2 - xy - y^2) dy = 0`

Text Solution

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The correct Answer is:
D
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A N EXCEL PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2' when 'x=1'

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

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  3. Which of the following is a homogeneous differential equation? (4 x+6 ...

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  4. Find the general solution of the differential equation y dx - (x + 2y...

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  5. Find the equation of a curve passing through the point (0,1). If the s...

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  6. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  7. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  8. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  9. Consider the D.E(x^2-1)dy/dx+2(x+2)y=2(x+1) Find dy/dx,degree and or...

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  10. Consider the D.E(x^2-1)dy/dx+2(x+2)y=2(x+1) Find the integrating fac...

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  11. Consider the differential equation (x^2 -1)(dy)/(dx) + 2 (x + 2) y = 2...

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  12. Consider the differential equation y^2 + (x - 1/y) (dy)/(dx) = 0 Fin...

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  13. Consider the differential equation y^2 + (x - 1/y) (dy)/(dx) = 0 Con...

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  14. Consider the differential equation y^2 + (x - 1/y) (dy)/(dx) = 0 Sol...

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  15. Solve the following differential equations (dy)/(dx) + 2y = sin x

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  16. Solve the following differential equations (dy)/(dx) + 3y = e^(-2x)

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  17. Solve the following differential equations (dy)/(dx) + y/x = x^2

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  18. Solve the following differential equations (dy)/(dx) + sec x y = tan x...

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  19. Solve the following differential equations cos^2 x (dy)/(dx) + y = tan...

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  20. Find the general solution of the differential equation xdy/dx+2y=x^2...

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