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Verify that the function x+y = tan^(-1)y...

Verify that the function `x+y = tan^(-1)y` satisfies the differential equation `y^(2)y' + y^(2) +1=0`

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ACCURATE PUBLICATION-DIFFERENTAL QUATIONS-TYPE-III:TRUE OR FALSE QUESTIONS
  1. The general solution of the differential equation x(1+y^(2))dx+y(1+x^(...

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  2. The general solution of the differential equation (dy)/(dx)+ysecx=tanx...

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  3. Verify that the function x+y = tan^(-1)y satisfies the differential e...

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  4. Integrating factor of the differential of the form (dx)/(dy)+p(1)x=Q(1...

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  5. Correct substitution for the solution of the differential equation of ...

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  6. Number of arbitrary constants in the particular solution of a differen...

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  7. The differential equation representing the family of circles x^(2)+(y-...

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  8. show: The solution of (dy)/(dx)=(y/x)^(1/3) is y^(2/3)-x^(2/3)=c.

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  9. show: The solution of the differential equation (dy)/(dx)=(x+2y)/x is ...

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  10. prove that : Solution of x (dy)/(dx)=y+x "tan"y/x is sin(y/x)=cx.

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  11. The differential equation of the all non horizontal lines in a plane i...

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  12. The degree of the differential equation ((d^(2)y)/(dx^(2)))^(3) + ((...

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  13. The order of the differential equation 2x^(2)(d^(2)y)/(dx^(2))-3(dy)/(...

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  14. The number of arbitraruy constants in the particular solution of as di...

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  15. The general solution of differential equation y dx-x dy=0 is y=cx.

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  16. Correct substitution for the solution of the differential equation of ...

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  17. The integrating factor of the differential equation (dy)/(dx)(x log x)...

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  18. The integrating factor of the differential equation (1+y^(2))+(2xy-cot...

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  19. The integrating factor of the differential equation (1-y^(2))(dx)/(d...

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  20. The integrating factor of the differential equation x (dy)/(dx)-y=e^(-...

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