- #1
morbello
- 73
- 0
im asked to find the general solution to the equation below and after find the implicit form I've done some work on it and just wanted to see if I am going in the right direction.
the equation
dy[tex]/dx = e^-3y cos x (1+sin x )^2[/tex]
My attempt at a general solution
1[tex]/3 e^3 = (sin x +1)^3 = y =e^3/(sin + 1)^3 +c[/tex]
and the implicit form as
1[tex]/12 (1+sin x )^3/exp (3y)[/tex]
this is harder maths than I've done so not as sure as with most.
the equation
dy[tex]/dx = e^-3y cos x (1+sin x )^2[/tex]
My attempt at a general solution
1[tex]/3 e^3 = (sin x +1)^3 = y =e^3/(sin + 1)^3 +c[/tex]
and the implicit form as
1[tex]/12 (1+sin x )^3/exp (3y)[/tex]
this is harder maths than I've done so not as sure as with most.