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Show that f(x, y)=x-y log y+y log x is ...

Show that `f(x, y)=x-y log y+y log x` is a homogeneous function of x and y.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIAL EQUATIONS -EXERCISE- 8(e)
  1. Show that f(x, y)=x-y log y+y log x is a homogeneous function of x an...

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  2. Find the I.F. of the following differential equations by transforming ...

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  3. Find the I.F. of the following differential equations by transforming ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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