Q10 of 118 Page 395

For each of the differential equations in question, find the general solution:
e^xtan y dx + 1(1 – e^x)sec²y dy = 0

Separating the variables,

Now Integrating both sides,

Let &

Then,

Or,

⇒ log t = log u + log c

Substituting the values of t and u on above equation.

Or,

For each of the differential equations in question, find the general solution:

For each of the differential equations in question, find a particular solution satisfying the given condition:

(x³ + x² + x + 1) dy/dx = 2x² + x, y = 1 when x = 0

For each of the differential equations in question, find a particular solution satisfying the given condition:

x(x² – 1) dy/dx = 1; y = 0 when x = 0

For each of the differential equations in question, find the general solution:extan y dx + 1(1 – ex)sec2y dy = 0