jee_main_2025_24_jan_evening - Differential Equations Topics

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QUESTION #54 Linear Differential Equations
Let f:(0,∞)arrow R be a function which is differentiable at all points of its domain and satisfies the condition x²f(x)=2xf(x)+3, with f(1)=4 Then 2f(2) is equal to:
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QUESTION #73 Linear Differential Equations of First Order
Let y=y(x) be the solution of the differential equation 2 x(dy)/(dx)= 2x-4y x, xin(0,(π)/(2)) If y((π)/(3))=0 , then y((π)/(4))+y((π)/(4)) 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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