jee_main_2024_01_february_morning - Differential Equations Topics

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QUESTION #14 First Order Differential Equations
Let y = y(x) be the solution of the differential equation (dy)/(dx) = 2x(x+y)³ - x(x+y) - 1, with y(0) = 1. Then, ( 1√(2) + y( 1√(2)) )² equals:
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QUESTION #21 Linear Differential Equations
If x=x(t) is the solution of the differential equation (t+1)dx=(2x+(t+1)⁴) dt, x(0)=2, then, x(1) 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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