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Solve the following differential equatio...

Solve the following differential equations.
` x(dy)/(dx)+y=(1+x)e^(x)`

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Verified by Experts

The correct Answer is:
`x.e^(x)+c`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(e)
  1. Solve the following differential equations. x (dy)/(dx) + 2y=log x

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  2. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(t...

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

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  4. Solve the following differential equations. (dy)/(dx)+(4x)/(1+x^(2))y...

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  5. Solve the following differential equations. x(dy)/(dx)+y=(1+x)e^(x)

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  6. Solve the following differential equations. (dy)/(dx)+(3x^(2))/(1+x...

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

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  8. Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=ta...

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

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  10. Solve the following differential equations. cos x. (dy)/(dx)+y sin x...

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  11. Solve the following differential equations. sec x. dy= (y + sin x)dx

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

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

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  14. Solve the following differential equations. x(x-1)(dy)/(dx)-y=x^(3)(...

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

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

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  17. Solve the following differential equations. x(x-1)(dy)/(dx)-(x-2)y=x...

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

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

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  20. Solve the following differential equations. y^(2)+(x-(1)/(y)).(dy)/...

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