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Show that the following equations are ho...

Show that the following equations are homogeneous and solve each of them.
x dy - y dx =`sqrt(x^2 + y^2)` dx

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A N EXCEL PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Solve the DE x^2dy/dx=x^2-2y^2+xy

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  2. {x cos (y/x)+y sin (y/x)} y d x={y sin (y/x)-(x) cos (y/x)} x d y

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  3. Show that the following equations are homogeneous and solve each of th...

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  4. Show that the following equations are homogeneous and solve each of th...

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  5. Show that the following equations are homogeneous and solve each of th...

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  6. solve y d x+x log (y/x) d y-2 x d y=0

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  7. solve (x+y) d y+(x-y) d x=0 , y=1 when x=1

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  8. solve x^2 d y+(x y+y^2) d x=0 , y=1 when x=1

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  9. Find the particular solution of the following equation satisfying the ...

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  10. Find the particular solution of the following equation satisfying the ...

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  11. 2 x y+y^2-2 x^2 (dy)/(dx)=0 , y=2' when 'x=1'

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  12. A homogeneous differential equation of the form (dx)/(dy) = h(x/y) can...

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  13. Which of the following is a homogeneous differential equation? (4 x+6 ...

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  14. Find the general solution of the differential equation y dx - (x + 2y...

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  15. Find the equation of a curve passing through the point (0,1). If the s...

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  16. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  17. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  18. Consider the differential equation (dy)/(dx) + y tan x = sec x Find...

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  19. Consider the D.E(x^2-1)dy/dx+2(x+2)y=2(x+1) Find dy/dx,degree and or...

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  20. Consider the D.E(x^2-1)dy/dx+2(x+2)y=2(x+1) Find the integrating fac...

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