- #1

- 6

- 1

- Homework Statement
- (x cos(y) + x^2 +y ) dx + (x + y^2 - (x^2)/2 sin y ) dy = 0

- Relevant Equations
- (x cos(y) + x^2 +y ) dx = - (x + y^2 - (x^2)/2 sin y ) dy

(x cos(y) + x

I integrated both sides

1/2x

Then

I get x

Am I doing the calculations correctly?

Do I need to solve it in another way?

^{2}+y ) dx = - (x + y^{2}- (x^{2})/2 sin y ) dyI integrated both sides

1/2x

^{2}cos(y) + 1/3 x^{3}+xy = -xy - 1/3y^{3}+x^{2}cos(y)Then

I get x

^{3}+ 6xy + y^{3}= 0Am I doing the calculations correctly?

Do I need to solve it in another way?