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AI Gen: Differential Equations Advanced question bank (Mathematics)

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Q1.

The solution of the differential equation x * dy/dx + y = x^3 * y^6 is of the form:

Topic: Differential Equations Advanced | Source: AI Generated (JEE Advanced)

(A)
y^(-5) = cx^5 - (5/2)x^3
(B)
y^5 = cx + x^3
(C)
y^(-5) = cx + x^2
(D)
y^3 = cx^2 + x
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Q2.

The orthogonal trajectories of the family of curves y = c * x^2 are given by:

Topic: Differential Equations Advanced | Source: AI Generated (JEE Advanced)

(A)
x^2 + 2y^2 = k
(B)
2x^2 + y^2 = k
(C)
x^2 + y^2 = k
(D)
x + y = k
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