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Find the general solution of differential equations (dy)/(dx)=sqrt(4-y^2) (-2

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`(dy)/(dx)=sqrt(4-y^(2))implies int(dy)/(sqrt(4-y^(2)))=intdx`
`implies sin^(-1)"(y)/(2)=x+cimplies(y)/(2)=sin(x+c)`
`implies y=2sin(x+c)`
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NAGEEN PRAKASHAN ENGLISH-DIFFERENTIAL EQUATIONS-Exercise 9.4
  1. Find the general solution of the differential equations (dy)/(dx)=(1-...

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  2. Find the general solution of differential equations (dy)/(dx)=sqrt(4-y...

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  3. Find the general solution of the differential equations (dy)/(dx)+y=1...

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  4. Find the general solution of the differential equations sec^2xtany dx...

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  5. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

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  6. Find the general solution of the differential equations (dy)/(dx)=(1+...

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  7. Find the general solution of the differential equations y log y dx...

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  8. Find the general solution of the differential equations x^5(dy)/(dx)=...

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  9. Find the general solution of the differential equations (dy)/(dx)=sin...

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  10. Find the general solution of the differential equations e^xtanydx+(1-...

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  11. The differential equations, find a particular solution satisfying the...

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  12. For the differential equation, find a particular solution satisfying ...

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  13. The differential equations, find a particular solution satisfying the...

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  14. The differential equations, find a particular solution satisfying the...

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  15. Find the equation of a curve passing through the point (0, 0) and w...

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  16. For the differential equation x y(dy)/(dx)=(x+2)(y+2), find the solu...

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  17. Find the equation of the curve passing through the point (0, -2) gi...

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  18. At any point (x, y) of a curve, the slope of the tangent is twice t...

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  19. The volume of spherical balloon being inflated changes at a constan...

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  20. In a bank principal increases at the rate of r% per year. Find the ...

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