List of top Mathematics Questions on Differential Equations asked in IPU CET

The integrating factor of the differential equation \( x^2 \left(\frac{dy}{dx}\right) - xy = 1 \) is:
The solution of the differential equation \[ \frac{d^2y}{dx^2} + 3y = -2x \] is

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The degree of the differential equation \[ x = 1 + \frac{dy}{dx} + \frac{1}{2!} \left( \frac{d^2y}{dx^2} \right) + \frac{1}{3!} \left( \frac{d^3y}{dx^3} \right) + ... \]

The solution of the differential equation \[ (x^2 - yx^2) \frac{dy}{dx} + y^2 + xy^2 = 0 \] is
If \(y^{\frac{1}{m}} + x^{\frac{1}{m}} = 2x\) then