jee_main_2024_30_january_evening - Differential Equations Topics

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Sample Questions in this Chapter

QUESTION #15 Functional Equations
Let f : R - 0 → R be a function satisfying f((x)/(y)) = (f(x))/(f(y)) for all x, y, f(y) ≠ 0. If f'(1) = 2024, then
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QUESTION #21 Linear Differential Equation
Let Y = Y(X) be a curve lying in the first quadrant such that the area enclosed by the line Y - y = Y'(x)(X - x) and the co-ordinate axes, where (x, y) is any point on the curve, is always (-y²)/(2Y'(x)) + 1 , Y'(x) ≠ 0 . If Y(1) = 1 , then 12Y(2) equals
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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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