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Find the particular solution of the differential equation(`tan^(-1)y-x)dy=(1+y^2)dx ,` given that when `x=0,\ y=0.`

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OSWAAL PUBLICATION-DIFFERENTIAL EQUATIONS-LINEAR DIFFERENTIAL EQUATIONS (Long Answer Type Questions - I)
  1. Find the general solution of the differential equation (dy)/(dx) + y c...

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  2. Find the particular solution of the differential equation (dy)/(dx) + ...

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  3. Solve (x log x ) ( dy)/(dx) + y = (2)/(x) log x .

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  4. Solve the following differential equation : (("x"^2-1)"dy")/("dx")+2"...

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  5. Solve (1 + x ^(2)) (dy )/(dx) + y = e ^( tan ^(-1) x ).

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  6. Solve the differential equation: (dy)/(dx)+ycotx=2cosx

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  7. (dy)/(dx) + 2 y tan x = sin x

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  8. Find the particular solution of the following differential equation : ...

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  9. Find the particular solution of the following differential equaiton gi...

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  10. Solve the following differential equation: (1+x^2)dy+2x y\ dx=cotx\ ...

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  11. Solve the following differential equation : x.(dy)/(dx) + y - x + xy c...

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  12. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0

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  13. Solve the following differential equation: cos^2\ x(dy)/(dx)+y=tan\ x

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

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  15. x dy - ( y+ 2x ^(2)) dx = 0

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  16. xdy + (y - x ^(3)) dx =0

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  17. Solve the following differential equation: (1+y+x^2)dx+(x+x^3)dy=0

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  18. Find the particular solution of the following differential equation...

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  19. Find the particular solution of the differential equation(tan^(-1)y-x)...

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  20. Find the particular solution of the differential equaiton (x-sin y)dy ...

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