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If the curve y=y(x) is the solution of the differential equation 2(x² + x⁵/⁴)dy - y(x + x¹/⁴)dx = 2x⁹/⁴dx, x > 0 which passes through the point (1, 1 - (4/3)logₑ2), then the value of y(16) is equal to:

Option 1 -

4(31/3 - 8/3 logₑ3)

Option 2 -

(31/3 + 8/3 logₑ3)

Option 3 -

(31/3 - 8/3 logₑ3)

Option 4 -

4(31/3 + 8/3 logₑ3)

0 6 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:
    Kindly consider the following

     

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