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Find the general solution of the differ...

Find the general solution of the differential equations y log y dx – x dy = 0

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To solve the differential equation \( y \log y \, dx - x \, dy = 0 \), we will follow these steps: ### Step 1: Rearranging the Equation We start with the given equation: \[ y \log y \, dx - x \, dy = 0 \] We can rearrange this to group the terms involving \( dy \) and \( dx \): ...
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NCERT-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations (dy)/(dx)=sin...

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

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

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

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  5. Find the general solution of the differential equations (e^x+e^(-x))d...

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

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

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

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  9. In a bank, principal increases continuously at the rate of r% per yea...

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  10. In a bank, principal increases continuously at the rate of 5% per yea...

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

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

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

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

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

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

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  17. Find the equation of a curve passing through the point (0, 2)given t...

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

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

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

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