jee_main_2024_29_january_evening - Differential Equations Topics

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QUESTION #12 Homogeneous Differential Equations
If ((y)/(x)) = ₑ|x| + (α)/(2) is the solution of the differential equation x ((y)/(x))(dy)/(dx) = y ((y)/(x)) + x and y(1) = (π)/(3), then α² is equal to
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QUESTION #27 First Order Linear Differential Equations
Let f(x) = r → x (2r² [ (f(r))² - f(x)f(r) ])/(r² - x²) - r³ e(f(r))/(r) be differentiable in (-∞, 0) (0, ∞) and f(1) = 1. Then the value of ea, such that f(a) = 0, 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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