Q8 of 462 Page 22

Mark the correct alternative in each of the following:
The equation of the curve whose slope is given by x > 0, y > 0 and which passes through the point (1, 1) is

Slope of the curve is given by

By Variable separable

Integrating both sides

∵ log x + log y = log xy

-- (1)

Since curve passes through the point (1, 1), we get

⇒√1=C.1

⇒C=1

Putting value of C in (1) we get,

⇒x=√y

Squaring both sides

⇒x² = y

=(A)

Mark the correct alternative in each of the following:

The general solution of the differential equation is

Mark the correct alternative in each of the following:

The differential equation obtained on eliminating A and B from y = A cos ωt + B sin ωt, is

Mark the correct alternative in each of the following:

The order of the differential equation whose general solution is given by

y = c₁cos (2x + c₂) – (c₃ + c₄) a^x^{+ c5} + c₆ sin (x – c₇) is

Mark the correct alternative in each of the following:

The solution of the differential equation represents a circle when

Mark the correct alternative in each of the following:The equation of the curve whose slope is given by x > 0, y > 0 and which passes through the point (1, 1) is