JEE PYQ Pattern Mix

by Notetube Official•25 questions•mixed•7 views

Try the first 5 questions

1.
If x dy/dx = y(ln y - ln x + 1), then the solution is:
2.
The DE representing the family y = ae^x + be^(2x) is:
3.
The solution of (3x^2 y + 2xy + y^3) dx + (x^2 + y^2) dy = 0 ... Wait, let me check exactness first. dM/dy = 3x^2 + 2x + 3y^2. dN/dx = 2x. Not exact. Different problem: Solve (2xy + y^2) dx + (x^2 + 2xy) dy = 0.
4.
The equation dy/dx = (4x + 6y + 5)/(3x + 2y + 4) is neither homogeneous nor separable. The substitution x = X + h, y = Y + k to make it homogeneous requires:
5.
The solution of (1 + x^2) dy/dx + 2xy = cos x is:

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