jee_main_2024_30_jan_morning - Differential Equations Topics

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QUESTION #9 Linear Differential Equations
Let y = y(x) be the solution of the differential equation x dy + 2(1 - x) x + x(2 - x) dx = 0 such that y(0) = 2. Then y(2) is equal to:
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QUESTION #27 Linear Differential Equations
Let y = y(x) be the solution of the differential equation (1 - x²) dy = [ xy + (x³ + 2)√(3(1 - x²)) ] dx, -1 < x < 1, y(0) = 0. If y((1)/(2)) = (m)/(n), m and n are co-prime numbers, then m + n is equal to
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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