Найти y'x и y''xx : 3x+sin y =5y

Question

Найти y'x и y''xx : 3x+sin y =5y

Answer 1

1) 3 + cos(y)*y' - 5*y' = 0;
3 = y'(5 - cos(y));
y' = 3/(5 - cos(y));
2)y'' = -(3*(sin(y)*y')/(5-cos(y))^2 = (-9*sin(y))/(5 - cos(y))^3