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The integrating factor of (dy)/(dx) +2 y...

The integrating factor of `(dy)/(dx) +2 y/x = e^(4x)` is :

A

`x^(-2)`

B

`x^(2)`

C

x

D

`x^(3)`

Text Solution

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The correct Answer is:
B
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PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. If (dy)/(dx)= (x-y)/(x+y) then its solution is :

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  2. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

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  3. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  4. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

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  5. The differential equation formed by eliminating A and B for the relat...

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  6. If xy=a^(2) where a is arbitrary constant then :

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  7. The order and degree of the differential equation y'' (y - (y')^(3))...

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  8. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  9. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

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  10. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

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  11. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

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  12. If y^(2) = 4ax where a is constant then the differential equation for...

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  13. The differential equation formed if y = (A - Bx ) e^(-2x) is :

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  14. The differential equation that will represent the family of all circle...

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  15. Solve (x^(2)-y) dx+(y^(2)-x)dy=0 , if it passes through origin :

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  16. The differential equation representing the family of curve y = A sin ...

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  17. The order and degree of the differential equation sin^(3)x (dx + dy)...

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  18. The general solution of (dy)/(dx) + y/x = 0 is :

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  19. If I.F of (dy)/(dx) +P(x)y = Q (x) is cos^(2)x then P (x) =

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  20. The solution of (dy)/(dx)+1/(x^(2)+1)= 0 is

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