Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y2=a(b2−x2)
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The equation of the curve passing through the point (0,π4) whose differential equation issin x cos y dx+cos x sin y dy=0, is
Let f:[1,∞] be a differentiable function such that f(1)=2. If 6∫1xf(t)dt=3xf(x)−x3 for all x≥1, then the value of f(2) is
The function f(θ)=ddθ∫0θdx1−cosθcosx satisfies the differential equation
Solve the equation
The solution of the differential equation dxdy=x2−2x3y33x2y4+2xy is
What is the solution of the differential equationdxdy+xy−y2=0?