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Find the general solution of the differ...

Find the general solution of the differential equations:`(dy)/(dx)+secx y=tanx(0<=x<=pi/2)`

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`=>dy/(dx)+ysecx=tanx `
Here, P=secx and Q=tanx
`I.F.=e^(∫Pdx)=e^(∫secx)`
`=>e^(log(secx+tanx))`
`=>secx+tanx`
So, the solution is:
`=>y(secx+tanx)=∫tanx(secx+tanx)dx+c`
`=>∫(secx+tanx+sec2x−1)dx+c`
...
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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.6
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  2. Find the general solution of the differential equations:cos^2x(dx)/(d...

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

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

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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(dy)/(dx...

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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(dy)/(dx)+...

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

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

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

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