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Solve the differential equation : x(dy...

Solve the differential equation :
`x(dy)/(dx) - y + x sin (y/x) =0`

Text Solution

Verified by Experts

The correct Answer is:
`c[1+ cos (y/x)]`
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OMEGA PUBLICATION-DIFFERENTIAL EQUATIONS-IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
  1. For each of the following, indicate their order and degree. (d^(2)y)...

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  2. For the differential equation given below, indicate its order and degr...

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  3. For the differential equation given below, indicate its order and degr...

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  4. Form the differential equation representing the family of curves given...

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  5. Solve the following differential equations x (dy)/(dx) - y + x sin (...

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  6. Solve y'e^(x//y) dx =(x.e^(x//y) + y^(2)) dy, y ne 0

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  7. Solve the following differential equation : (3xy + y^(2)) dx -(x^(2)...

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  8. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  9. Solve the following differential equation: x(dy)/(dx) = y- x tan(y/x...

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  10. Solve the following differential equation: (dy)/(dx) -y = cos x

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  11. For each of the following, indicate their order and degree. (d^(2)y)...

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  12. For the differential equation given below, indicate its order and degr...

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  13. For the differential equation given below, indicate its order and degr...

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  14. Form the differential equation representing the family of curves given...

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  15. Solve the differential equation : x(dy)/(dx) - y + x sin (y/x) =0

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  16. Solve y'e^(x//y) dx =(x.e^(x//y) + y^(2)) dy, y ne 0

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  17. Solve the following differential equation : (3xy + y^(2)) dx -(x^(2)...

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  18. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  19. Solve the following differential equation: x(dy)/(dx) = y- x tan(y/x...

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  20. Solve the following differential equation: (dy)/(dx) -y = cos x

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