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Solve the differential equations: x^3(dy...

Solve the differential equations:
`x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2),x>0`

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Solve the differential equations: xcosx(dy/dx)+y(xsinx+cosx)=1

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  2. Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+...

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  3. Solve the differential equations: x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2),x>...

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

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  5. Solve the differential equations: x(dy)/(dx)-y=xsqrt(y^2-x^2),x>0

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  6. Solve the differential equations: (x(dy)/(dx)-y)e^(y//x)=x^2cosx

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  7. Solve the differential equations: (dy)/(dx)=(-6x+2y-4)/(-3x+y+3)

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  8. Solve the differential equations: (dy)/(dx)=(x+2y-1)/(2x+4y+2)

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  9. Solve the differential equations: (3x+2y+1)dx+(6x+4y+5)dy=0

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  10. Solve the differential equations: (2x+3y-5)dy+(3x+2y-5)dx=0.

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  11. Solve the differential equations: (3x-7y-3)dy-(3y-7x+7)dx=0

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  12. Solve the differential equations: (dy)/(dx)=(y-x+1)/(y+x+5)

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  13. Solve the differential equations: (x-y-1)dy-(x-y-3)dx=0

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  14. The solution of (2x^(2)+3y^(2)-7)xdx-(3x^(2)+2y^(2)-8)ydy=0 is given b...

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  15. Solve (x+y)^2(dy)/(dx)=1 given that y=0 when x=1.

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  16. Solve the differential equations: (x^2y^2+xy+1)ydx+(x^2y^2-xy+1)xdy=0

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  17. Show that the family of curves for which the slope of the tangent at a...

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  18. Find the equation of a curve passing through (2,1) if the slope of the...

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  19. Find the equation of a curve passing through the origin if the slope o...

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  20. Solve the differential equation: (dy)/(dx)+y=0

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