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Differential Equations · 2025 · 22 Jan · Shift 1

3 Mathematics questions from this JEE Main paper
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Differential Equations · 2025 · 22 Jan · Shift 1

3 Mathematics questions from this JEE Main paper

  1. Q34.Let x=x(y) be the solution of the differential equation y2 dx+(x−y1​)dy=0. If x(1)=1, then x(21​) is :
    Mathematics · Differential Equations · MCQ
  2. Q36.Let f(x) be a real differentiable function such that f(0)=1 and f(x+y)=f(x)f′(y)+f′(x)f(y) for all x,y∈R. Then ∑n=1100​loge​f(n) is equal to :
    Mathematics · Differential Equations · MCQ
  3. Q43.Let f:R→R be a twice differentiable function such that f(x+y)=f(x)f(y) for all x,y∈R. If f′(0)=4a and f satisfies f′′(x)−3af′(x)−f(x)=0,a>0…
    Mathematics · Differential Equations · MCQ