Q89.If y = y(x) is the solution of the equation esin y cos y dxdy + esin y cos x = cos x, y(0) = 0; then 1 + y( π6 ) + √32 y( π3 ) + √21 y( π4 ) is equal to _______.
What This Question Tests
This problem involves solving a first-order linear differential equation by recognizing its standard form after suitable manipulation, and then evaluating a complex expression using the particular solution.
Concepts Tested
Formulas Used
dy/dx + P(x)y = Q(x)
Integrating Factor = e^(∫P(x)dx)
📚 NCERT Sections This Tests
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Solving differential equations
- Year
- 2021
- Shift
- 26 Feb Shift 1
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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