jee_main_2026_21_jan_morning - Differential Equations Topics

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QUESTION #8 Linear Differential Equations
Let y = y(x) be the solution curve of the differential equation (1 + x²)dy + (y - ⁻¹x)dx = 0 , y(0) = 1 . Then the value of y(1) is:
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QUESTION #21 Higher Order Differential Equations and AOD
Let f: R → R be a twice differentiable function such that the quadratic equation f(x)m² - 2f'(x)m + f''(x) = 0 in m , has two equal roots for every x in R . If f(0) = 1 , f'(0) = 2 and (α, β) is the largest interval in which the function f( ₑ x - x) is increasing, then α + β 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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