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For each of the following differential e...

For each of the following differential equations, find a particular solution
satisfying the given conditions.
`(dy)/(dx) - 3y cot x = sin 2x`, y = 2 when x = `pi/2`

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V PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  4. Find the equation of a curve passing through the origin given that the...

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

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

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  7. The intergrating factor of the differential equation (1 -y^2)(dx)/(dy...

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  8. Verify that the function y=c1 e^(a x) cos b x+c2 e^(a x) sin b x, wher...

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  10. Find the particular solution of the differential equation log ((dy)/(d...

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  11. Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y...

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  12. Solve the differential equation (tan ^-1 y-x) d y=(1+y^2) d x

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  13. For each of the differential equations given below, indicate its order...

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  14. Verify that the given fuction (implicit or explicit) is a solution of ...

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  15. Form the differential equation representing the family of curves given...

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  16. Prove that x^2 - y^2 = c(x^2 + y^2)^2 is the general solution of the d...

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  17. Form the differential equation of the family of circles in the first q...

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  18. Find the general solution of the differential equation. (dy)/(dx)+sqrt...

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  19. Show that the general solution of the differential equation (dy)/(dx)+...

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  20. Find the equation of the curve passing through the point (0 , pi/4) wh...

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