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Solution of the equation (1 - x^2) dy + ...

Solution of the equation `(1 - x^2) dy + xy dx = xy^2dx` is

A

`(y-1)^2 (1-x)^2 = cy`

B

`(y-1)^2 (1-x)^2 =c^2y^2`

C

`(y-1)^2 (1+x^2)=c^2y^2`

D

`(y+1)^2 (1-x^2)=c^2y^2`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  4. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  5. Solution of the differential equation (dy)/(dx)tany=sin(x+y)+sin(x-y) ...

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  6. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  7. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

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  8. The solution of (cosec x log y ) dy + (x^2y)dx=0 is

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  9. The solution of the differential equaton (dy)/(dx)=(x log x^(2)+x)/...

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  10. The solution of the differential equation cos y log (sec x + tan x)dx=...

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  11. The solution of the equation sqrt(a+x) dy/dx + x =0 is

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  12. The general solution of the differential equation (1+x y)y dx+x(1-x y)...

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  13. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

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  14. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  15. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

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  16. The solution of e^(dy//dx) = (x+1) , u (0) = 3 is

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  17. The solution of (dy)/(dx)+1 = e^(x+y) is

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  18. Solution of the equation : sin^(-1)((dy)/(dx))=x+y is

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  19. The solution of the differential of the differential equation (dy)/...

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  20. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

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