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Find the general solution of the differential equations:`xlogx(dx)/(dy)+y=2/xlogx`

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To solve the differential equation \( x \log x \frac{dy}{dx} + y = \frac{2}{x \log x} \), we will follow these steps: ### Step 1: Rewrite the Equation First, we rewrite the given differential equation in a standard form: \[ x \log x \frac{dy}{dx} + y = \frac{2}{x \log x} \] Dividing the entire equation by \( x \log x \): ...
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NCERT-DIFFERENTIAL EQUATIONS-EXERCISE 9.6
  1. Find the general solution of the differential equations:(dx)/(dy)+sec...

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  2. Find the general solution of the differential equations: cos^2x(dy/dx...

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  3. Find the general solution of the differential equations:x(dx)/(dy)+2y...

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

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  5. Find the equation of a curve passing through the origin given that th...

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

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

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

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  9. Find the general solution of the differential equations:(x+3y^2)(dx)/...

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

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  11. Find the general solution of the differential equations:(x+y)(dx)/(dy...

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  12. Find the general solution of the differential equations:xlogx(dx)/(dy...

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  13. The Integrating Factor of the differential equation (1-y^2)(dx)/(dy)+...

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  14. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  15. Find the general solution of the differential equations:(1+x^2)dy+2x ...

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  16. Find the general solution of the differential equations:x(dx)/(dy)+y-...

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

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

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  19. Find the general solution of the differential equations:(dx)/(dy)+y/x...

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