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Solve (dy)/(dx) =y^(2)tan 2x, " given th...

Solve `(dy)/(dx) =y^(2)tan 2x, " given that " y =2 " when " x =0`.

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The correct Answer is:
`y(1+log|cos2x|)=2`
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RS AGGARWAL-DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE-Exercise 19B
  1. Find the particular solution of the differential equation log(dy)/(...

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  2. Solve the differential equation (x^(2)-yx^(2))dy +(y^(2)+x^(2)y^(2))dx...

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  3. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  4. Find the particular solution of the differential equation (dy)/(dx)=(...

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  5. Solve the differential equation (y)/(dx)=y sin 2x, " given that " y(0)...

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  6. Solve the differential equation (x+1)(dy)/(dx) =2xy, " given that " y(...

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  7. Solve (dy)/(dx)=x(2 log x +1), " given that " y =0 " when " x =2.

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  8. Solve (x^(3)+x^(2)+x+1)(dy)/(dx) =2x^(2)+x, " given that " y=1 " when ...

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  9. Solve (dy)/(dx)=y tan x, " given that " y=1 " when " x=0.

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  10. Solve (dy)/(dx) =y^(2)tan 2x, " given that " y =2 " when " x =0.

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  11. Solve (dy)/(dx) =y cot 2x, " given that " y =2 " when " x =(pi)/(4).

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  12. Solve (1+x^(2))sec^(2)y dy +2 x tany dx =0, " given that " y = (pi)/(4...

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

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  14. Find the equation of a curve which passes through the origin and whos...

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

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  16. A curve passes through the point (-2, 1) and at any point (x, y) of ...

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

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

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  19. The volume of spherical balloon being inflated changes at a constan...

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  20. In a culture the bacteria count is 100000. The number is increased ...

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