Q10 of 118 Page 419

Solve the differential equation

It is given that

------(1)

Let

Differentiating it w.r.t. y, we get,

------(2)

From equation (1) and equation (2), we get,

⇒ dz = dy

On integrating both sides, we get,

z = y + C

Find the equation of the curve passing through the point whose differential equation is sin x cos y dx + cos x sin y dy = 0.

Find the particular solution of the differential equation (1 + e^2x) dy + (1 + y²) e^x dx = 0, given that y = 1 when x = 0.

Find a particular solution of the differential equation (x – y) (dx + dy) = dx – dy, given that y = –1, when x = 0. (Hint: put x – y = t)

Solve the differential equation