Question
Solve the differential equation;
x (1 + y2 ) dx – y (1 + x2 ) dy = 0 given that y = 0 when x = 1.
Solution
The given differential equation is
x (1 + y2 ) dx – y (1 + x2 ) dy = 0
or y (1 + x2 ) dy = 0 = x (1 + y2 ) dx
Integrating,
Now y = 0 when x = 1
which is required solution.
x (1 + y2 ) dx – y (1 + x2 ) dy = 0
or y (1 + x2 ) dy = 0 = x (1 + y2 ) dx
Integrating,
Now y = 0 when x = 1
which is required solution.
