Solve the following differential equations The image contains the differential equation dy/dx - x sin^2 x = 1 / (x log x).

Q12 of 462 Page 22

Solve the following differential equations

Separate variables

Integrate both sides we get,

…1

logx=t

Differentiate with respect to x.

Put value of t

…2

we know that:

Using Integration by parts we get,

…3

Put values of eq 2 and 3 in eq 1^st

Solve the following differential equations

(sinx + cosx)dy + (cosx – sinx) dx = 0

Solve the following differential equations