solve the equation:
this is a tough problem for me that i cant start...
i can't find any separable nor any linearity in this solution
ill try to solve
solution:
substitute let w = sin(y)
dw = cos(y)dy so substitute
....
now im stuck
solve the equation:
this is a tough problem for me that i cant start...
i can't find any separable nor any linearity in this solution
ill try to solve
solution:
substitute let w = sin(y)
dw = cos(y)dy so substitute
....
now im stuck
Let us define another change of variable for our dependent variable: choose .
Then , , and thus our equation becomes
This is a nonhomogenous first order linear differential equation. We can see by substitution that is a solution. Thus, we find and add to that the general solution for the corresponding homogenous equation
, which is separable:
Thus the solution to is , and from there you can convert back into w, and then into .
--Kevin C.