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The solution of (dy)/(dx)+P(x)y=0, is...

The solution of `(dy)/(dx)+P(x)y=0`, is

A

`y=ce^(intP dx)`

B

`y=ce^(-intP dy)`

C

`y=ce^(-intP dx)`

D

`x=ce^(int Pdy)`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The integrating factor of the differential equation (dy)/(dx)=1/(x+y+2...

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  2. IF sin x is the integerating factor (I.F ) of the linear diff...

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  3. The solution of (dy)/(dx)+P(x)y=0, is

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  4. Find the general solution of (dy)/(dx)+ay=e^(mx)

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  5. Find the general solution of each of the following differential equat...

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  6. Solution of differential equation x(dy)/(dx)=y+x^2 is

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  7. Find the general solution of the differential equation x(dy)/(dx)+2y=...

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  8. y+x^2="dy"/"dx" has the solution

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  9. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  10. The solution of (y-3x^2)dx +xdy=0 is

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  11. The solution of the equation (x-4y^3)"dy"/"dx"-y=0, (y gt 0) is

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  12. The solution of the differential equation y dx +(x +x^2 y) dy=0 is

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  13. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

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  14. The solution of differential equation cos x dy = y (sin x - y ) dx,...

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  15. The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

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  16. The solution of (dy)/(dx) + y tan x = sec x is

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  17. The solution of the differential equation (dy)/(dx)+y/(x loge x)=1/x, ...

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  18. Let y(x) be the solution of the differential equation ( x log ...

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  19. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

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  20. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

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