Solve the following differential equations: The image shows the differential equation dy/dx plus (1 plus y squared) divided by y equals 0.

Separate variablesIntegrate both sides we get,Let y2=tDifferentiate with respect to xPut value of t,

Q1 of 462 Page 22

Solve the following differential equations:

Separate variables

Integrate both sides we get,

Let y²=t

Differentiate with respect to x

Put value of t,

Solve the following initial value problem:

Solve the following differential equations: