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Solve the following differential equatio...

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

Text Solution

Verified by Experts

The correct Answer is:
`y=(x^2(4log_e x-1))/(16)+(c )/(x^2)`
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CBSE COMPLEMENTARY MATERIAL-DIFFERENTIAL EQUATIONS-FOUR MARK QUESTIONS
  1. Form the differential equation representing the family of curves (y-b)...

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  2. Solve the following differential equations (1-x^2)(dy)/(dx)-xy=x^2" ...

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

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  4. Solve the following differential equations (dy)/(dx)+(1)/(x)y = cos ...

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  5. Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y...

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  6. Solve the following differential equations ydx+(x-y^3)dy=0.

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  7. Solve the following differential equations ye^(y)dx= (y^3+2xe^(y))dy...

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

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  9. Solve each of the following differential equations cos y "" dx +(1+2...

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  10. Solve the following differential equation: x\ sqrt(1-y^2)dx+y\ sqrt(1-...

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  11. Solve each of the following differential equations sqrt((1-x^2)(1-y^...

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  12. Solve each of the following differential equations (xy^2+x)dx+(yx^2+...

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  13. Solve each of the following differential equations (dy)/(dx)-y sin^3...

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  14. Solve each of the following differential equations tan x tan y dx + ...

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  15. Solve each of the following differential equations (dy)/(dx)=x-1+xy-...

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  16. Solve the following differential equations x^2y dx -(x^3+y^3)dy=0.

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

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

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  19. Solve the following differential equations (y sin"" (x)/(y))dx= (x s...

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  20. Solve the following differential equations (dy)/(dx)=(y)/(x)+tan (y/...

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