AE-JE Foundation EE : Engineering Mathematics Quiz - 3

A variable separable first order differentiable equation has the general form

The solution of differential equation  is

The particular solution of differential equation (x² – y²)dx + 2xy dy = 0, if the curve passes through (1, 0) is

y = e^x is a solution of

I: y’’ – y’ = 0

II: 2y’’’ – y’’ – y’ = 0

The integrating factor of differential equation (1 + y²)dx + 2xy dy = cot y dy (y ≠ 0) is

General solution of differential equation  is

The solution of a linear first order differential equation in the form  with integrating factor as IF is

General solution of differential equation x dy = (2x² + 1) dx (x ≠ 0) is

General equation of the differential equation  is

The equation of a curve passing through (0, 0) and with differential equation  is