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12th Standard English Medium Maths Subject Ordinary Differential Equations Creative 5 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 25

    5 Marks

    5 x 5 = 25
  1. The surface area of a balloon being inflated changes at a constant rate. If initially, its radius 3 units and after 2 seconds it is 5 units, find the radius after t seconds.

  2. Solve: \(\frac { dy }{ dx } \) = (3x+2y+1)2

  3. Solve : \(\frac { dy }{ dx } =\left( { sin }^{ 2 }x{ cos }^{ 2 }x+{ xe }^{ x } \right) dx\)

  4. Solve : \(\left( 1+{ x }^{ 2 } \right) \frac { dy }{ dx } -x={ 2tan }^{ -1 }x\)

  5. Solve : (1+y2)(1 + log x)dx + x dy = 0, given that x = 1,y = 1.

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