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Find the general solution of the differ...

Find the general solution of the differential equations `(dy)/(dx)=sin^(-1)x`

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To solve the differential equation \(\frac{dy}{dx} = \sin^{-1}(x)\), we will follow these steps: ### Step 1: Rewrite the Differential Equation We start by rewriting the equation in a more manageable form: \[ dy = \sin^{-1}(x) \, dx \] ...
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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations x^5(dy)/(dx)=...

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

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

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  4. Find the general solution of the differential equations y log y dx – ...

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

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

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  7. Find the general solution of the differential equations '(dy)/(dx)=sq...

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

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  9. Find the general solution of the differential equations (dy)/(dx)=(1-...

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

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  11. In a bank, principal increases continuously at the rate of 5% per y...

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  12. The general solution of the differential equation (dy)/(dx)=e^(x+y)is...

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  13. In a culture, the bacteria count is 1,00,000. The number is increased...

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  14. The volume of spherical balloon being inflated changes at a constant ...

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

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  16. Find the equation of a curve passing through the point (0, 0) and wh...

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

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

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

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  20. Find a particular solution satisfying the given condition : (x^(3)+x...

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