jee_main_2026_22_january_morning - Differential Equations Topics

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QUESTION #9 Linear Differential Equations
Let f:[1,∞)→ R be a differentiable function, If 6∫₁xf(t)dt = 3xf(x) + x³ -4 for all x≥ 1, then the value of f(2) - f(3) is
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QUESTION #19 Homogeneous Differential Equations
Let the solution curve of the differential equation x dy - y dx = x² + y² dx, x > 0, y(1) = 0, be y = y(x). Then y(3) 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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