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Express x dy-y dx=sqrt(x^(2)+y^(2)) dx i...

Express `x dy-y dx=sqrt(x^(2)+y^(2)) dx` in the form `F((y)/(x))=(dy)/(dx)` .

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The correct Answer is:
`(y)/(x)+sqrt(1+((y)/(x))^(2))`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(c)
  1. Express x dy-y dx=sqrt(x^(2)+y^(2)) dx in the form F((y)/(x))=(dy)/(dx...

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  2. Express (x-y "tan"^(-1)(y)/(x))dx+x "tan"^(-1) (y)/(x)dy=0 in the for...

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  3. Express x (dy)/(dx)=y(logy-logx+1) in the form F((y)/(x))=(dy)/(dx)

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  4. Solve the following differential equations. (dy)/(dx)=(x-y)/(x+y)

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

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

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  7. Solve the following differential equations. y^(2)dx+(x^(2)-xy)dy=0

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

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  9. Solve the following differential equations. (x^(2)-y^(2))dx-xy dy=0

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  10. Solve the following differential equations. (x^(2)y-2xy^(2))dx=(x^(3)...

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  11. Solve the following differential equations. y^(2)dx+(x^(2)-xy+y^(2))d...

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  12. Solve the following differential equations. (y^(2)-2xy)dx+(2xy-x^(2))...

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

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  14. Solve the following differential equations. x dy-y dx= sqrt(x^(2)+y^(...

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  15. Solve the following differential equations. (2x-y)dy=(2y-x) dx

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

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

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  18. Solve (1+e^((x)/(y)))dx+e^((x)/(y)) (1-(x)/(y))dy=0

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  19. Solve : x " sin"(y)/(x).(dy)/(dx)=y " sin"(y)/(x)-x

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  20. Solve : x dy= (y+x " cos"^(2)(y)/(x))dx

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