Mark the correct alternative in each of the following: The solution of the differential equation is The image displays the differential equation x (dy/dx) = y + x tan(y/x).

Q21 of 462 Page 22

Mark the correct alternative in each of the following:
The solution of the differential equation is

--(1)

The above equation is of the form of Homogeneous differential equation.

Differentiate w.r.t x we get,

--(2)

Putting value of (2) in (1) we get

Integrating both sides,

Putting value of v we get,

Mark the correct alternative in each of the following:

The equation of the curve satisfying the differential equation

y(x + y³)dx = x(y³ – x) dy and passing through the point (1, 1) is

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The solution of the differential equation represents

Mark the correct alternative in each of the following:

The differential equation satisfied by ax² + by² = 1 is

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The differential equation which represents the family of curves y = e^Cx is